thank you very much for coming and thank you for the invitations and it's my
honor to be here and give it this distinguished lecture series in both
Institute so I was really impressed in the past two days the visit here and
this exciting research going on as well as the facilities and people here thing
is that very impressive in many aspect originally when I was invited to give a
talk that I didn't give a talk title so until quite recently but then I found
that somebody put in my talk title ready and the title that they're listed here
that as well you can find the poster is actually the title that I
didn't give I don't know somebody actually assigned to me but then I reassigned
my talk title as a bit more, some of the research that related to my research
but then actually the reason that I just bring it back here is in past two days
that my experience here I start to realize that a lot of things in this
title is pretty much a generic title that also related with something going
on this research center that whether I want kind of make a little pitch on
to the my research which is a two dimensional systems tied with this
quantum frontier and that a nano scale so we'll see the how it goes alright so
as Holger said that the main topic I want to discuss is about the particular class
of material there I've been working on it's called a two dimensional material
or the van der waals materials system and it's material that we've been known
for quite a long time nature provides us a lot of so-called delated materials
graphite is a good example in this material that the chemical bond is a
within atomic layer but between the layer there is no real chemical bonding
it's just the weak van der waals which holds all them together because of this weak
van der Waals force nature the worst first thing you can realize that many of
the this material that simply can cleave
quite well using scotch tape that peoples in about 12 years ago
demonstrate you can break the graphite down to a single layer of the atomic
layer of graphite while you hold the graphene and that is possible simply
because the material is is stable because all the chemical bond is within
the layer it turns out that's only the beginning and soon we start to realize
there are all other type of the so-called layered materials or we can
call the van der waals materials that you can increase we take this material down
to one atomic layer or in other word you can also grow this material using
CVD and be in various different type of synthesized method you can grow this
material stabilized down to one atomic layer such that you can effectively
create a two dimensional material system and that has been quite exciting first
of all the material comes with the various different flavor graphite that i
mentioned that turn into the graphene but if you just go above this at the time below
the periodic table there is solisten domains and all this if the number four
families can generate something like graphene like the structures they can be
stabilized down to one atomic layer and they tend to usually shows the
interesting electronic properties so-called semi-metal or zero gap
semiconductor all durán materials in modern terms but also some of the
material becomes an insulator boron nitride that I'm going to discuss is a
good example or some of the materials especially transition metal dark or
denied which consists of the transition metal with charcoal gene atoms such as
sulfur selenium and tellurium those kind of materials often
demonstrate as a semiconductor pure anti or sometime we become superconductor if
you just use an item for example or some materials becomes the strange matter
such as charges wave system and the list actually grows every day and we've been
just enjoying to see in past five or ten years that what kind of materials we can
create in the two dimensional limits and one can study a lot of their interest in
electronic property in this the in a sense quantum limits of this
2 dimensional system now one another advantage e we can see is in this that
captured in cartoon that which was a listened by the way physics today last
year it's kind of following tom not only you can study them as a down to one atomic
layer limits such that you can understand their interest in quantum
physics in principle you can stack them together this is relatively easy in part
because again it's a big van der Waals force when you just put them together
you don't have to worry about their lattice mismatch and just commend your
abilities they simply just kind of put them together and because of a diverse
interaction they just can hold them together and yet there is no real
chemical bond so they just kind of exist a data stack system so this ability
allows us to the following things not only you just kind of work on single
layer system you can just bring it back and stack them together to put some of
the these complicated structures either in plane or even out of plane
no plane but even the same plane even further because as I said this material
comes with a various different flavor you can think about this is a unit that
just displays some of the interesting functionalities right so if you just
choose by just interesting design like as if the you just block the kind of
fact it's a Lego block in principle you can stack this Pandarus materials to try
to come up with quasi three-dimensional structures with some of them interesting
the functionality basically this idea of a Hector structuring of this functioning
system actually bring us a quite exciting new moments such that we can
probably study this material down to atomic length scale and look at this the
how the quantum mechanics plays all but on the top of that one can actually
build distant into this some of the functional devices
we're not even individual layer see that that the properties that if appearing in
the interface actually exceed that they are expectations coming from the silicon
individual materials right it's not only just kind of science fiction's but
indeed in past five years people have been
moving on to demonstrate some of the devices starting from the simple field
effect transistors or interconnect or biosensors the tunneling device memories
LEDs and now kind of more of this electronic and optoelectronic devices
based on this combination of 2d materials and even just try to build up
this flexible devices there are least actually growing up and a lot of the in
tech interest to use this material as some of the application has been come
around in quite recent years I'm not going to discuss about the detail about
the application simply because I'm not good at this kind of real applications
but at least I want to kind of address a part that what kind of the capability
that we've been stuck kind of developing and moreover what type of the
interesting the physical property we start to see especially electronic and
electro optical properties that might be used for some of the realizing
conventional device I would say but even further beyond this conventional device
where the quantum mechanics plays quite important role the method that we've
been using is a rather simple things it's basically what I call the van der waals
reverse a hetero structure this method has been developed out of the
collaboration that I had at Columbia University a few years ago especially
together with the Jim horns group at the mechanical engineering but this can be
easily generalized quite a bit so of course you can get this deep materials
using various synthesis method including the hetero structures such as MB MOCVD
is a method that people try but even before that if you are not worrying
about the scaling about the idea following idea works quite well so I
told you that we can cleave this material down to single atomic layer on
the surface say silicon oxide surface or something and then you can prepare the
polymer tapes or polymer the membrane specially designed such that it may not
lived a lot of residues and we can control the origins and then you start
with pick up some of van der waals system you want to start with typically boron
nitride is a good system because it's a good engineer and then you bring down
this boron nitride on to the another the single layer system in this particular
case the graphene and you just kind of change
the temperature of the substrate controlling the adhesions between the
silicon oxide this material and mature to the boron nitrite you can
controllably pick up this much yours say from the silicon oxide and attach to in
boron nitrite right and then you can start to repeat this process and over
and over again and other materials in this cases you can pick up the boron
nitride again or other the layer the materials and then in the end of the day
you have the distal stacks of the materially different compositions in
there now it depends on the sequences you have the different type of things
but the important part is if you just do it in really controllable way as you see
in this cross sectional TEM image here is a graphene encapsulated in the boron
nitride important part is that this interface especially this hetero
interface between graphene and boron nitride is the extremely clean there is
no single atomic defects you can see in this cross sectional TM images all this
a dot and impurities basically squeezed out from this vanderbass interface such
that you have atomically shaft interfaces possible not only you can get
this mb type of the screen interface in principle you can just kind of cut this
these texts at a very careful manner and expose certain atomic layer that you want
to make the contact and there has been some method that developed that you can
selectively contact the the layers that you want in this particular graphene is
contact with this gold and make the extremely good contact so today you can
make this a device that based on this the quantum Etro stretch structures
where individual atomic layer can be contact right so that's very important
part so in a sense you can mimic that semiconductor heterostructures people
having made have been synthesized using mb technique but here there's a poor
man's mb technique but nevertheless it works rather beautifully
especially in the graphene now we can make this type of devices such a clean
limit the electron mean prepared measured in this type of the system is
basically exceeding several tens of micron in fact that electron mean free
path is set by the sides of sample we can get a list in the low-temperature
means that we can make extrema clean interface between graphene and boron
nitride this type of the clean sample immediately allows us to do a lot of
exciting physics this is a good example that once you apply this strong magnetic
field you start to see that your transport shows this quantizing effect
what you call often the quantum hall effect but it's not only quantum hall
effect it turns out there is an interesting interaction between the
graphene and boron nitride what you call the more apparent forms and give us the
super lattice which actually quantized the graphene band even further and
create this all these kind of complicated structures I'm not going to
discuss anything in detail here on this one because it's Arabella's static
subject but nevertheless this problem actually gives us exciting these new
physics that how this the commander ational in combination lattice
structures in fact with a magnetic field to create this a fractal like the energy
spectrum in the system and this type of the experiment is our only possible that
when you have the extremely clean sample that available in the extreme quantum
condition so this is a good example that what you can do when we have the
clean sample but this is the beginning it's not only graphene but you can make
this all this hetero structure in various semiconductors and the other
system in this particular example we have the boron nitride encapsulated
sorry graphene and moldy disulfide is encapsulated in between boron nitride
make hetro structures that graphene onto the moldy disulfide I serve I didn't make
the good contact between them so graphite in this fuel a of the graphene
server is a good content on moly disulfide and nevertheless moldy
disulfide is encapsulated in this boron nitride
give us a really good channel and entire these structures can be work as a
transistors and their mobility is quite good something like easily ten thousands
under the magnetic field issues are gained quantum oscillations so you start
to see that this example actually extended beyond the graphene one can
make this come interesting these quantum devices as well not only just kind of
this magnetic field and road temperature quantum device but you can also make
this some of this known the other quantum device a beyond the CMOS here is
another good example in this particular example we have sorry about these small
characters but here is a bit tungsten di cilinide
p-type semiconductor and another tungsten dicilinide but in between that
we insert a very thin layer of the boron nitride as a tunneling layer right again
this made made out of this successive stacking and then you can clearly see
that between this two layer because it's a Saltine boron nitride is a tunnelling
device now this type of the tunnelling device is what we can make we the so
called the quantum well resonance tunneling device that out of
semiconductor heterostructures big different see here is we have the gate
from top and bottom such that we can control this band alignment between
these two materials right in the net when you measure tunnelling current
through this device the tunnelling current at the fixed the gate voltage for
example shows increasing tunnelling the current as a bias voltage and there is a
peaks and there's tips and going up again so this peak appears in the terms
of the bias is what I call this the negative differential resistance in a
sense there is a negative slope in here is they actually indications of this
resonance tunnelling between this so 2 dimensional system so has been
demonstrated again they say many of the discs on these quantum hectro
structures as a key diode is a good example but important part is those kind
of this this signature of the resonance tunnelling peaks can be movable by the
gate voltage we apply in the system showing that we have the control
complete controllability in those kinda hetero structures and we can build up
this type of interesting devices as well so not only this type of the electronic
device it turns out you can also turn this in the electron opto electronic
devices in this particular example that we have P PI by n type semiconductor
with them together again very similar fashions and you can see that this is
the thinnest PN diode that you can make either P or n Junction is only one atom
thick materials but exciting part is when you just bias this one is that kind
of illuminating the light like this the LED light enemy emitting diode and that
the spectrum can be tunable by the gate voltage again simply because we can tune
this parallel alignment right or if you want you can use these are these photo
sensors if you shine the lights and measured
you get the photocurrent actually is different it's a kind of you can view as
world thinnest a photovoltaic for photovoltaic diode but variously this
type of the device operation can be done in the extreme that when you make that
this sample is extremely thin right so this is kind of good starting point that
what kind of the application we can just kinda launch you on this extremely 2D
limit of the system now I know that up to here that is a good demonstration
but probably a lot of the my physics colleagues may not be too happy to see
this well this is electric engineering again may I know that you can just make
it thin but what we can learn from here now exciting part of the this two
dimensional system and the hetero structure is actually allows us some
things go beyond that what I just kind of showed you at the example of the
conventional electronic devices we've been known right so let me show you a
few example that I am pretty much excited about the opportunities it's by
far its ongoing project but nevertheless was you will see that some play but what
we are excited about just kind of using this type of to this system so you've
been heard about especially in this institute that you've been a lot heard
about a lot of this mijorana fermions and quantum computing based on
the mijorana fermions and mijorana particles and so on right so I don't have to explain
or a lot of these things but in 1930s this Ettore Majorana the Italian
physicist come up with this intriguing solution of the drug equations which is
brand new equations to describe that's the electrode the relativistic quantum
mechanical particles and that defined the solutions that quite unique
solutions such that it's a the self antiparticle as a solution it turns out
this majorana is a formal solution one of the foremost solution of the di-equations
but it's a weird innocence its particle is its own antiparticle
especially if you just think about in terms of electrons it's basically half
electron it's a half electron or half a whole like and they always comes as kind
of pair right what has been just realizing what a rather recent a year is
if you just realize this majorana particle pairs and especially if they
isolate pairs and if you just can just kind of play around because they're
inherently entangled between these two majorana particles and they are
rather robust because it's partially protected one may be able to use this as
the elements that realize a robust quantum computing and out of this idea
of the past five years that in the condensed matter system there's a
massive search of the material platform to realize this my own on a particles to
be used as a quantum computing right and there are many example that I don't want
to go through but some of the example that a lot of commonalities a you need
some sort of spin orbit coupling or just kind of something that
twisting the band structures around and important ingredient is you have to
interface with a superconductor to proximatize and realizes 1/2 or 1/2
electron type of system there are quite a progress in this field in the
condensed matter field and just realizing one of the materials many
topological insulator it turns out this all the two-dimensional like and that's
kind of good interesting point but the other part interesting part is and you
can just also work on the non conventional superconductors such as the
P wave superconductors and quality particles all the vortices in this the P
wave soup can often consider as a mariner particles the problem here that
is there's another easy way that we can realize those kinds of system in the
reliable way the one example I want to share in that this a two-dimensional
world there are many things that kinda touch upon this so to demand rate system
is at the last part it turns out there's a way that you cannot approximatize
the higher states of the quantum Hall state so quantum anomalous so here whole
states and try to realize this robust be the
topologically unique particles in there how it works basically we need to know
that how to approximatize you are the quantum or say to be the superconductor
and that has been really difficult task in conventional semiconductor system
part of the reason is when you just apply the magnetic field the magnetic
field basically compete with the superconductivity and furthermore in
typical semiconductor under the magnetic field is a very difficult to make a good omi
contact to do just a quantum or measurement with the superconductor
which is usually reflected in materials here comes that kind of interesting new
directions I told you about the graphene and this is a single layer and a high
quality treatment system under the magnetic field we know that it developed
a nice quantum or effect but even further because it is the geoweb
semiconductor nevertheless once you put down the superconductor there is a good
way you can engineers a fairly highly transparent or highly effective
superconducting in there so it turns out graphene can be really good candidate
one can realize both superconductivity proximitizations as well as the
quantum hall effective indeed this experiment so we made this very narrow
the finger like the electrode onto the graphene channel and apply the magnetic
field under the magnetic field once the Landau level forms and everything is
quantized it turns out the transporter is only carried by these edges states
and simply measuring the edges state the potentials one know that how the
quantization is happening so basically we just did very similar experiments
like the typical quantum or measurement except that one of the electrode is
replaced by this niobium nitrite which is known to be type 2 superconductors
where the HST 2 is a large enough such that when you have the quantum Hall
effect still the superconductivity can be
reached preserved in our experiment we found that that this sample actually
did show that nice quantum Hall effect down to say few Tesla
nicely developed all this Venn diagram with all nice quantum Plateau
but not only that when you just carefully measure the chemical
potentials of the edge states we realize the interesting part some part of the
chemical potential image in the circuit only to the negative and that's very
weird moment because we just applied only the positive voltages
0 to positive voltage in these circuits but at some point of the circuit you
start to pick up negative voltages classically or semi classically it
cannot be explained and the way that it happen is when this edge states carry
the electron and hit the superconductor across the superconductor basically this
electron into the whore out of this interesting
procedure what we call the and reprocess right and from there that the electron
turn into the hole leaving the Cooper pair behind and we start to be able to
read this negative voltages in the circuit and this fact that we just read
this negative voltage tells us that there is electron and hole conversion is
happening in this system and in terms of this more complicated world this is what
you call the and reprocess or especially cross and due process and it happens
when you have the really thin superconductor where the electron is allowed
to turn into the whore across this very thin superconductor thinner than the
soup canoed clearance length which means that if you just make the discipline
electrode thicker and thicker basically we start quickly lose the signal
negative signal and this length scale tells us about how much actually the
superconducting currency in this system so it has been nicely done right I mean you
may say that all right so I can see this one but why this is a relator is so
called a majorana particle up to here this is basically description nice
description of the experiment of this 80's and 90's idea right
what have that we have this recent tweak is there is a new way that we can just
view this problem so I'm just kind of showing you that that device but let me
just zoom in there what is the device to look like right follow moment let's
forget about this is a superconductor right and then quantum edge state
comes in if there is no graphene underneath indeed we just make the
trench out of it that the quantum edge state will turn around and coming
like this right so across the distant trench that we had the one quantum
edge states to run this way and the other one is opposite way this is basically
counter-propagating States and then we feel that state in between the state
with the superconductor which can couple that these are two different edge States
can't prepare any agitates through the superconducting the superconducting
interactions basically this is a basic ingredient of the any majorana physics any
majorana on a particle is that you want create in the previous the material
platform works in very similar way that you have the counter-propagating states
topologically protected right but then you just couple them with a superconductor
approximatize them at the end of the day
basically at the end of those can approximatizations you just gapped out
those kind of the counter propogating United States at the end of the diskette
are two state you actually expect is that they localized majorana and that's
case basically more than view and this is not my idea my saying that all this
theorist actually worked it out this type of things a couple with the
counter-propagating states that this is what is the expectation interpretation
of the our cross and the reflection therefore is basically there's a
resonance state that through that this majorana that we have the resonance
transport through that edge state which actually turn into the cross and the
reflections why this is exciting basically this is a way that now we can
start to see that how we can engineer the majorana states and then how to
manipulate them in some sense rather than we started with the one majorana
I can demonstrate it we can just have the descend we can make there another
fingers and then indeed you can ask what if that I start can turn on the
interaction between these two majorana or maybe I can just try any layer were
created and this is basically the basic ingredient we can just present
not only you can create a majorana particle we can start to the
interactions as you see here this is a extremely preliminary data we just start
to make these things that we at least know that from the cross annual fraction
they exist of the majorana and we started to pick up the idea that we can
create them we can manipulate them very preliminary data but promising there is
indeed when you just measure the Josephson coupling between these two
through the majorana we start to see that whenever we change in this quantum
Hall plateau we start to see that this Josephson critical current changes
with same steps that we expected from this be the superconducting gap indicating
that these two states are closer linked together and hope that just give us the
promise or hope that that we start we must be able to manipulate them some more
efficiently so at this point is actually preliminary data but already I give you
some flavor that just combining that advantage we have in this treatment
system such that we can create this clean system we can also make the
contact proximate idea superconductors I give you some flavor that what kind of
non-conventional device we can create it right
as you see in the title that I mentioned also this not only electronic device but
we can just go for the opto electronic devices so let me just kind of dwell
on this now optic side well I'm not this really optics guy I know that
I'm in danger that they're in this Institute I'm talking about optics but
let me just try to do that anyway so in my simple mind that the important object
we have to discuss in when we just discuss of the optics are the optical
properties of the electronic property in semiconductor its accidents which is
basically one can create in this field band with cap the system of semiconductor
shined in the light and we know the photon can create the electron hole pair
as the excitation right well this electron hole can Coulomb contact
each other and they can form the bound state so what that's what we call the
excitons and this bound state shows a lot of the interesting properties like the
lewd read bud excitons is a good example but absorption properties and all a lot
of the optical properties governed by the exciton now unfortunately this
exciton is a rather short-lived because it said it's not the ground state it's a
transient States so depends on the system exciton lifetime can be something
like even less than Pico seconds something like the microseconds depends
on the all these the mechanism how the exciton is a recombine there right but you
can ask the following questions where external as a composite particle they
must have if you're I just streetlight the pollen particle should have the same
symmetry what is their symmetry where it's pair of the electron and hole which
is both of the pheromone is called a spin of the 1/2 so exciton must have the
integer spin which means that we know that this is supposed to be bozon
composite bozon so idea is well if the exciton is bozan if I pump there a lot
of exciton then in principle they can condense down into the Depot giants and
condensation and form some of the macroscopic quantum states maybe that
can be called that one can use something only the problem is exciton is a rather
short lift so the first thing you have to do to move in that direction is it just
to try to create a long-lived exciton one part we can do is you
and just walk on this semiconductor quantum well this is something that
Professor Na Young Kim has been working on for a long time right you just create
this quantum well and then nice thing about this quantum well especially in the
double quantum well is you can create the exciton in the one over those as
well but also you can apply the electric field and you can kill this quantum well
and such that that now the valence band bottom and the conduction band top of
the conduction band bottom and the valence band the top getting close each
other such that exciton can be now addressed in the even this ground state
in principle all close to ground state right and this idea of the creating this
spatially indirect external indirect internal has been around and people actually
using this type of the spatially indirect excitons or maybe put this excitons
into this cavities to create extra proton in Y or whatever way that
there isn't some demonstration you can create this the collection of the exciton
and there is a signatures that this exciton start forms at least some
collective states such as spontaneous coherence actually start up here's some
of the example that recently demonstrated in this semiconductor
hetero structures but nevertheless external majorana today is
still another ground state such that it can be only changing and only exists in
the pumped the system non equilibrium states so whether this you can call this
extern condensation or not that's a lot of the debates in the system now there
is a way that though one can make that this exciton as a ground state and
there's a possibility then you can condense them and it's going back to
again quantum well system so idea idea is following imagine that i have the two
quantum well system then just one top and bottom each other and apply the magnetic
field in there right if i just feel this then then there's a Landau level forms
nicely Landau level formed but let's imagine that instead of that I make that
these two landau completely full completely empty
whether you expect quantized Hall effect appears what if that I just partially
filled this landau level and partially filled on landau level is kind of bad metal
I'm the nothing special things happen it's just kind of poor metal right but
nevertheless if you just put this to partially fill landau level very close
to each other and then I just kind of deliberately put this the density of the
each of the layer each of the layers partially filled but it's complementary
partially fill means that if I just put them together their full rundown level
and in this particular case especially when the lathe delay is close by then
you naturally expected that electron in the top start to see that electron in
the bottom layer and of course the exchange interactions or Pauli exclusion
exclusion principle tells us they don't want to sit in the same space they just
kind of want to experience such that you want me to this public
scrutiny exclusion principle works which means that as the put the layers close
by they it's a self-organized such that they just avoid each other right now if
you just look at this system from the top they look like something like this
right if you just project lead out it's completely full landau right as
if they behave like completely full landau level so that's basically idea behind
of these things that you have the partially filled to landau levels
together and put them together and then you just form this completely full landau
level why this is a related with exciton if you just go back to this
picture basically here's the electron directly related hole and electron
directly relate the hole such that you start to see that this exciton sub pair is
actually formed in this picture right but as a whole this is a full landau
level which means that there as a whole they actually we store back the quantum
Hall effect as if these two layers behavior one layer right and this
beautiful arguments actually work it out already in the garden arsenide and from
the 90s that Jim and Jane Stein's group at Caltech is basically the pioneer under
this view demonstrated when you have this two
quantum or layers together is that kind of talk to each other and form this
quantum mechanically quieren states can be detected by just carefully measuring
the transport for example now again you have the two layer that you send the
current in the top layer and just measure the voltage in the bottom layer
and define the resistance this is not the director resistance this is what we
call the drag resistance and they start to see that drug resistance is
quantizer and if this two layers doesn't talk to each other there is no reason
they a connected each other but in this picture basically because of this
quantum mechanical process they are connected and they do see that that
there is a direct resistance appears and this direct resistance is also quantized
and that has been strong evidence that even in this these two layers just kind
of talking together and make this exciton turn and not only make the exciton
they actually condensate it into the quantum mechanical system showing this a
quantized direct resistance so this has been beautifully done in in past 20
years and well demonstrate it now of course in the two dimensional electron
system such as graphene boron nitride all of these things as as long as your
layer is clean you can repeat this one into the graphene right well here is it
devices so we have the two graphene layers separate by the boron nitride
with the top and bottom gates and or each of the layers got contact as I
mentioned that this can be done and then you just kind of well the real device
images like this and then when you apply the magnetic field and measure their
direct resistance and indeed we do see that like the what in gallium arsenide
we did see that drag resistance is quantized right so quantum or effect
appears in one layer to the other layers is kind of connected although
electrically they are separated out right so two partially filled band
Landau levels shows a drag quantum quantization indicating indeed that we
are seeing the condensed magnetic exciton in the system right well on the
top of that since we have this more capability on to the tuning the density
the gallium arsenide that people did seem a high field landau level but in this
case we see that those effector into the many different Landau level for example
and two half fill landau level to the full landau level we do see again that is
similar drag effect is showing that we can also created exciton condensation in
various places of the difference between different Landau level but perhaps the
very different things that we cannot see in the gallium arsenide but clearly see
in the in this particular system is following case I told you that in the
magnetic external condensation is a very close some the excellent
condensation except that as a whole layer it is still quantum effects such
that we have this the agitated we exist right but in principle that we can make
this rather than this coupling between electron Landau level to another
electron landau level in different layer what if I just using the gate that
turned this on at bottom layer of the graphene into the whole system right so
I have the electron landau over to the whole Landau level and ask the same
thing now in this particular case it is a real
hole and there is a really electron and still it kind of this is a real extra
forms right but the important idea there is especially if you just put the same
amount of these landau level feeling so half fill landau level hald fill landau
level and there are edge States or they're adjusting the the edge estate is
counter productive directions meaning that this becomes on exciton but via
insulator without any edge States it's very close to the real exciton
condensation we are creating if you just can put the electron and hole togethers
and make these things indeed they all experiment I showed you we can just
choose now electron in the whole side so especially this is the filling fraction
of the top layer filling friction the bottom layer along this line basically
we populate half full landau level top and half full landau a heavier electron
Landau level top have failed hole under level in bottom right what is the
feature we are seeing is all these would be drug resistance and drag conductance
we imagine goes to zero basically it becomes really good insulator and if you
just can simply make a two terminal resistance call together
it turns out your conductance actually drop to zero when when you have the half full
Landau levels together and this will is rather weird situation so I know that
this is esoteric but let me just kind of explain that something really
simple half full landau level I told you is a
bad metal right so I have the electron half filled landau level bad metal the
electron have a whore half full landau level which is bad metal right so you have the bad
metal but it's still metal conductor what if we you just put them together you make the
parallel plates and you just kind of measure them
together what is your expectation classically okay it's a poor conductor
another poor conductor it is probably still poor conductor but slightly a
better conductor right what I'm saying here is if I just add a two conductor
together but suddenly it becomes insulator although it's parallel connected
and why is that because it's an electron and hole coupled together when I just try
to send the current electron is flowing in that way if he did strongly couple
holes are flowing the same way it canceled the current right so that's why
it becomes an insulator another way to say that is now the carrier that here is
basically electron hole pair it's a neutral object they cannot carry the
current anymore right so this is basically clear demonstration but
something really happened when we have that really just accident condensed
excellent condensation here there will be more of the exciting part is the
other way that you can view that is now I send the current in the bottom layer
but simply that imagining the voltage in top layer I'm sorry that I'm just as mad at
the bias the voltage on to the table to send the current on the top but if
I just make this short in the bottom layer what happen is in the bottom layer
there is no voltage source but then you start to see the current is flowing
another way to say that is where exciton is here if the exciton is a dragged by
this the bias voltage in the top basically that if the hole is flowing
there electron is flowing there in other columns the flow in there amount of
current I'm getting here should be same as amount current there indeed if you
measure in this situation or cross here that where action is condensating
exactly we getting this the dragging current is the same as a driving current
it's what we call the politic the drag right and this is another indication
indeed we have the condensed X in this system right now we can just do a ribbon
no more things I don't want kind of do it on this one or a bit more but you can
actually carefully look at this how this exciton condensation is happening in
different magnetic field and different temperatures and in all of them
indication let me just skip this one because it's a but the okay so I will do
it here that then you start see that there's interesting the phase
diagram I can draw that how the extent is conversating as a function of
magnetic field and temperature I don't want to go into too much of detail but
once we see these things we just realize this is not only just to what we are
seeing the experiment but has been discussed in long time in exciton
condensation communities it's basically that phase diagram you expect see when
you have the excitons in electron hole of course if the temperature becomes high
and high exciton becomes unbinding and then becomes the electron hole plasma or if
you just put a more and more exciton in there there's so-called emal
transitions happen in other word that basically screaming between the charge
carrier increases such that you start to lose a full on binding energy that the
electron hole the exciton system turn into the electron hole liquid just kind
of binding States right and all of the system as you go down to low temperature
they can condense of course in if you have the exciton, the exciton is boson it
condensed into the bose-einstein condensation if you have the electron
hole plasma that condensed as a superconducting state BCS turns out that
in the low temperature there is sure to be some BC to the BCS crossover happens
and the other is what is the expectation indeed what we measure into the day of
our system is very under Louis when we just measured we are seeing the very
similar things happening when you look at this a gap that out of there
measurement we are seeing that this conversation gap or transition
temperature shows a nice dome shapes and that kind of eject the crossover what we
expect to see in the BCM bcs so indeed the system that we discrete
out of this magnetic sense really follow through the what we what we supposed to
see in this section state however as i mentioned that i want to talk about
optic optical states but you already start to see that is this guy is already
digress of the his convenient the pace pace of the graphene not to mention
about any of the properties right and this is nice the demonstration makes and
conversation but only appears in the strong magnetic field right how about
the real excitons to of these systems we are dealing with actually is a good
system
in principle that we can discuss about that some part of the reason is in 2D
semiconductor TMDC it has a decent gap and because of his safety atomic
limits when you shine the lights they form the excitons but they'd have the
very strong binding energies simply because electron hole pair you created
all of the field aligned going out of the materials without screening and their
chrome interaction becomes very strong so it turns out experimentally you find
that half electron of this half electron both of these exciton binding energies
because if they have the strong binding energy in principle you can also attach
this exciton with a charged particle create so-called a trion or positive
negative charge at trion states they can be also stabilized and this type of the
beautiful idea has been tested out already in the three dimension electron
system by the many other groups here is at Antonio Heinz group and Xiao Dong Xu's
group they all demonstrated indeed exciton do exist in two dimensional system they
are very robust and strongly bound and you can create a lot of different type
of optical species and make the interesting quadrants and interesting on
other parties strong in a spin orbit coupling in the system made these valleys
gas spin split which means that using the light you can also control the spin
state of the particles or excitons in the system so we know that this is a
very exciting system can you actually couple this with electronic device
indeed it's a relatively straightforward right you just make this a transistor I
just so to show that before right and then you just put the gate as if it is
fill that effective transistors rather then you just measure transport you can
just measure the optical spectrum and see how you look like under there all
these kind of different electronic conditions so here it's a good example
here is that we have a transistor made of the tungsten di cell and
monolayers we have top and bottom gates as you see the Y and the source and
drain and we can just act or to study about their transport properties but we
can also study their optical properties as a function of a gate using the gate
we can control the electric field edge where as a charge density and this
particular diagram I am showing you there is a photo luminescent
data as a function of the density we can change in the system if you just apply
the same polarity of the voltage onto the gate we can change the density
without applying the electric field or we just apply the different polarity on
top and bottom gate we can change the electric field without changing the
density and what you see here is their spectrum the bright the red is basically
peak and blue is a deep and there are the peaks appears in the optical
spectrum we can assign following to the previous work this is exciton this is a
negatively charged trion on this is positively charged trions as a function of
the density extreme quickly dies off outside of the gap region their energy
has shifted as you change the density because they are screening property got
changes so we start to see that a spectrum got changes but important part
is this exciton we create or try on we create in two dimensional system as a
function of the electric field in the vertical directions there instead
intensity got modulated but what you see in that the energy position is that just
constant right and this tells us whatever dipole moment of this the
species accidents or Trion you create if this type of moment is they should be in
plane such that it's orthogonal to the electric field we applied in the
vertical direction another way to say that is truly two-dimensional object we
can create optically created and potentially we can also electrically
manipulate it right while this the two-dimensional system we
create is a completely the two-dimensional electron default this
system one can create this the rather semi three-dimensional system by hetero
structuring I told you that we can create the PN junctions by just kind
changing different type of materials in this particular case I'm only thyself I
sell and I tungsten Dyson and I put them together it's a type 2 band alignment we
can create this the structures I showed you before that this behave like PN
diode we can create the photoluminescence and we can get we can
get the electro luminescence and photo currents out of it we actually put a
little bit more efforts in here we can put complete control top and bottom
gates each of the electrode each of the layer and if each of the
electro need to be gated to make the homie contact but in the end of the day
we have the device by the way this is kind of heroic efforts of the couple of
students and making this type of device takes us sometimes to build in the
working device but nevertheless once you make the device you get beautiful
optical spectrum here I'm showing you out again photo luminescent curve so
this one is that when we have the tungsten disseminate along this is where
the molten dicelonide and I are on a low temperature the peak width is about
Mille level 4 almost a radiative a lifetime they're limited but the
interesting part is interlay exciton when you have that this part of this the
transitions we do see that the peak appears in heterostructure area
indicating that indeed now we have this intellects and forms and that's
important kind of beginning point right I told you that interlay exciton can be
long-lived in principle because now electron holes are separated right and
over the on the top of that because of this band alignment is not the
three-dimensional structures by just again we can control this band alignment
which means that this energy scale got changed indeed that's a case when we
actually show this intellect some peak changes with the gate voltages again as
you change the density we see the intellects and the energy got slowly
slightly changes but outside the gap we quickly lose the intelligence so
intellection only appears when thermal level is within the gap but important
part is unlike this is a two dimensional system in disappeared junctions in the
atomic Alateen PN Junction as you change the electric field by controlling the
gate inter exciton and energy is linearly
changing just kinda linear structure meaning that dipole moment is now
out of plane and just looking at this the magnitude of linear shift we know
that this is a completely interlay excitons we just created now I told you
interlayer exciton can be long-lived indeed if you just look at the external lifetime
external lifetime is a reasonably long it's something like 200 nanoseconds the
half micron half microseconds more importantly energy you just change
Gate voltage as you just apply the electric field along the exciton direction
such that you start to pull this excitons away you start to get this electron and
whole wave functions overlap and less and less and you expect a lifetime
becomes a longer and longer and that's precisely what you see as you apply the
electric field lifetime becomes longer because you pull
this exciton ends up right and such a long leave the exciton is already forcing
gradient we need to create the exciton condensation right the first thing that
you start to see is this because exciton is a long leave that when you just create the
exciton they can start can diffuse out the sample rather fast right in this 10
micron size of sample you just kind of shine the laser there about this spot
and then you start to see that the exciton can be picked up or across the
sample even further you can actually look at this how the exciton get diffuse
out by just just posting this exciton and you can get this exciton actually diffuse
out to rather fast and just the time dependence this extra measurement we can
start to get this in the numbers it turns out diffusion constant of exciton is a
three centimeter square wall centromere seconds which actually correspond this
the the mobility of the carrier do we measure in the system so we know that it
works more important part is that this in homogeneity that tells us the exciton
we create can be also trapped in some part of sample due to the imaginary
and the density inside of trap can be controlled by descending the current
through the desist one of the layer so this starts tells us that in principle
using the current in one of the layer we may be able to drive this exciton in the
system this is very analogous to the magnetics and I showed you right when I
send the currently one of the layer that I said get the perfect drags in to the
other current unfortunately we are not in yet get that
new range of the measure but clearly the optical spectrum start
tells us that sending the current in one of the layer
apparently affected systems in the way that excellent distribution is
something's it's a very kind of important part are we in the exciton
condensation regime I think let me just skip this one
I think we probably not we don't have the really good evidence yet but at
least we are getting it there how do we know if you just pumped in the exciton
with the high density the exciton and it's that blue shift and that's because exciton and
exciton and interactions and this blue shift actually give us a sense that what is
exciton density we can create in this system without heating the system it
turns out exciton and ends to be creating about 10 to the 10 10 to the 11th
they're centimeters we don't know that yet that what is the density that exciton
can be created but if we just rely on the mean field type of the theory
calculations already here okay so this is a BKT line where the exciton conducts
BC condensation is happening so we is about here right I did it and then you
see the temperature is something like this we measure this is a 4 Kelvin so in
terms of this density we are not really far from this mean field of the line of
the exciton condensation we hope that once we just create a little more
careful experiment especially direct type over the experiment we should be
able to really pick up this quantitative quantitative analysis of this exciton
condensation features so this is another example I think at this point it is just
the demonstrations of that at least we start to see the very first step that
what we are looking for that just can be on the convention of the electron device
such as the photodiode or the photovoltaic device and here is
another example that once you create the so kinda exciton condensation in
principle you can create exciton and condensation even a really elaborate
temperature as long as you you just make the long-lived excitons in the in this
system and that's kind of another hole that maybe it there is a way that we can
create this quantum electrical optical devices based on this type of and there was
hetero structures technology got evolved not only you just
kind of create the excitons but you can create this excitons and they can one can
mode they modulate the exciton and the various positions and some things I don't have
the real time is going through and just kind of create this at the some of the
localized excitons and trials by just the look at the engineering the
important part is important message that I want to deliver in some sense as a
summary is this the new opportunity that we are just received just arise from
this availability of the various different type of materials combined
with this the mesoscopic experimental technique subtle ways to give us some of
the exciting the the the new quantum physics especially new many-body quantum
physics startup here in this type of system now the next level question is is
there a way that we can tame this type of new physical phenomena into the kind
of device going beyond of the CMOS type of applications so that's basically next
many years of the answer that we have to work on finally I should probably thank
my group first that they just kind of make the oldest the various part of the
presentation is possible but also not only is within my group there are strong
collaborations both the superconducting inside optic side and theory side that
most of the my local collaborators as well as they might collaborate in the
Japan who provide high quality of this boron nitride crystal thank you very
much
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