 Yeah, we're all happy about that so okay we can hear you so please go ahead. Okay, just one question how much time to actually have because we starting a little later. You're supposed to end the talking 40 minutes plus five of questions. All right, then I'll jump right in. And I want to thank Andre for the for the invitation to give this talk and basically, I will talk about a couple of sort of ongoing stories so first of all of course I'll give a little bit of an introduction of twisted biographies and more systems. And as the previous speaker already touched based upon I will talk a lot about sort of the ongoing story on strange metallicity in the system and maybe a sort of analogy to quantum critical systems. So, at least I'll likely talk about magnetic Joseph junctions. And before I really jump into the physics I really also want to introduce a little bit ourselves so we were a group in a group in Barcelona for the last couple of years but as of the summer we are fully located at a new unit. So we are part of quantum. Uniquantum belly there, and so on. And really I want to also mention that because we were just starting this new operation there we also have a lot of positions so if you know anybody who would be interested, please spread the information. And also, I want to mention that we're also very happy to have really fantastic theory collaborators, like under renovate on McDonald's and so on, who helped us a lot to interpret our data. So, really, of course, for this audience this is no news but let me just give it, give sort of my sort of thoughts about the ongoing story and twisted by like European so as you all know, this field is now something like four and a half years old so public super connectivity and correlated insulators back in 2018. And of course, ever since that time there were a lot of sort of other reports and which reported many different phases and of course, in the center of it is a super connectivity correlated insulators. And of course, non trivial topology, and many groups have observed an almost quantum hall effect, for example, insurance laders, orbital magnetism, and of course, this alleged strange metal phase. And sort of my take on this is really that I mean we're first of all of course we're really excited to work with such a rich system, but sort of moving on for the next couple of years, my take on it is that really a lot of these phases, while and phenomenology seems to be kind of pointed to a certain direction. Many of these phases are still not exactly understood so we might have not yet uncovered for example, the nature of super connectivity, whereas of course, most people that talk to these days would sort of favor a very unconventional mechanism which of course is now also gaining some more evidence from the from the experiments. Also, some of them better understood phases, I think are the topological phases in the orbital magnetic phases because these seem to be more or less directly understood from single particle arguments and sort of winding numbers and And of course, there is still this story of strange metallicity which which was highly debated in the last couple of years. And basically in the first part of my talk I'll try to give you some sort of additional experiments that you have conducted recently and sort of our sort of current thoughts about this phase as well. And so before I jump into the details of the experiment I just really want to also give a little bit of sort of contrast, sort of why we think this system is very special. So first of all, of course, these moray systems show all the switch from knowledge, but the they show these are very different length scales and very different energy scales than what you typically are used to in crystals. So crystals like the cooperates of course the interlayer spacing is just a few n storms, which is sort of almost two orders of magnitude smaller than in the crystal biology where it's more like 10 nanometers. And of course the interaction energies on the lettuce are also very different so instead of EV in crystals we get a much smaller interaction energies in the orders of any of you. And of course all of that is also can be contrasted to optical lettuces were of course very beautiful experiments have been done over the last years. And here again, just about everything shows different length scales or instead of micrometers and extremely low interaction energies like people at John votes moray materials have here is sort of the intermediate spot between those systems. But, while this is basically here I also want to mention some technological sort of aspects that make the system different, and allow us to use entirely novel tuning knobs to control the system. And for this I really want to. Sorry, I'll close the video here. For this I really want to go back to sort of simple brainstorming based on the Harvard model. And again, here in a Harvard model the most important sort of energy scales of the kinetic energy team which sort of describes hopping between the left sides, and the onsite energy you which sort of is the cool of energy, if two particles are occupied in the same lettuce site. And I want to really stress that in the system here we principle have control over both of these parameters, and the controller is rather, rather good. So for example T of course the kinetic energy can be controlled by twist angle. So, this graph here shows the density of states evolution as a function of twist angle of course we at a twist angle we have the largest density of states, and this is because we have the smallest bandwidth, and therefore the kinetic energy is also the smallest in this point but we can always control with this thing on slightly away from this point. And change this parameter. And therefore T is really kinetic energy is really just a function of twisting or you can sort of adjust to that. And of course also you is also a function of the complex dielectric environment in which we subject that was developed in samples. This is encapsulated in HPN this is an insulator of a dielectric constant 3.9 but in principle you can choose other materials with different dielectric constants. And also, what we also can do is place metallic gates very closely to the twisted by the European, even nanometers, and a number of papers have reported that really these metallic screening gates can effectively also alter you. So, in principle you is also controllable and therefore we have really in conscious to the crystals and optical let us as we have really control over the u over t ratio here. And really, let me jump in into sort of the transport data so really just want to show the riches of the technology and a couple of graphs. So this is a device that we measured. And really shows the longitudinal resistance and the whole resistance as a function of carry density and temperature here. And really what we like to do in the system typically just try to translate the carry density that, which we actually control with the gate so we can continue continuously control the carry density in the system. So we can translate this carry density into a filling factor, which is basically counting the electrons per unit cell. So we can really plot. The resistance here is a function of filling factor of one electron per unit cell two and free electrons per unit cell. And you already see that at many of the exact integer feelings, the resistance might have some enhanced values and really this these sort of red regions here are high resistance are this these alleged correlated insulators that are basically interaction driven what insulators if you want. So in these correlated insulators very often we observe superconducting those were really resistance drops to zero or 50 C of around three, three to five Kelvin, one to five Kelvin, depending on the device. And really we can tune between these phases continuously with the gate so we can by applying just a slightly different gate voltage we can tune out of the correlated insulator into the superconductor and so on. So this is really not given in every device but in this particular device we also observe and fill factor one here, we observed orbital magnetic state. So basically, we measure here rx y as a function of magnetic field direction, and around zero magnetic are these hysteresis loops, where the rx y value almost sort of reaches a value of h over the square. So it's almost quantized here, and really another sort of devices by and they would go have a Gordon, they also saw really quantization of such states and really we interpret these states right now as orbital magnets, where basically the magnetization comes mostly from serve orbital motion of the electrons in the bulk of the device. And what we can do to stabilize these orbital magnetic states or, or in other words, we're churn insulators we can actually apply some magnetic field and perpendicular direction, and we can actually stabilize these churn churn insulators. We can reveal many, many more of them and also other integer feelings and this is sort of data which you can see here, we're really starting from each integer and we observe sort of churn insulators with different churn numbers with a very well defined sequence of churn on essentially. And last but not least, if you sort of tune in the center of the band, where basically the, there are no phase transitions and you just have this metallic state analyzing closely this metallic state really reveals some, some real strange metal behavior, which is really in the context of what we observe in normal metals or in single layer for that for that matter. And really I want to start now with the strange metal face and want to give you an overview of sort of what we found out in some some recent work of ours. I'm really jumping in into that strange metal things I really want to sort of have a to paint sort of a very naive hand wavy comparison to other systems that people reported similar behavior in. These are the top rates and fermion symptoms, plictides, and what these systems may have a phenomenologically at least in common is that really close to some magnetic phase transitions and sort of embedded into a super connecting dome. Sort of the observer metallic state that cannot be described by firm liquid theory, which is typically giving rise to a linear resistance as a function of temperature. Again, in contrast to firm liquid which will predict a power law dependence. Some of these systems also showed striking linear material resistance at around the same sort of density ranges as a linear temperature dependence appears. And closer analysis of the scattering rates in the systems, often show blanking scattering rates, which means that basically, even at low and high, even in sort of any temperature limit of the systems, they observe our banking scattering rates which means that the electron scatter as fast as allowed by the Heisenberg uncertain principle, and in particular I think at low temperatures, where phonons, etc, are not so strong. And it's of course the question what can device to such a strong scattering past scattering events. Okay, so and really going moving over to the developing story and twisted bio layer. Of course, this topic is not new so Pablo, as reported on some strange metal behavior back in 2019 I think this was one of the first papers on this on twisted by the graph in general. And this is the data here on the left which Pablo painted back then so this is showing resistivity as a function of temperature, and really for a broader dense region in the center of the band, where interactions, supposedly strongest. You observed a striking behavior that starting from around one Kelvin to 30 Kelvin. The linear, the temperature dependence was extremely linear of the resistance. And therefore the slope of this resistance was extremely high so it really was a slope of maybe 100% per Kelvin. And this basically was tied to serve the observation of the scattering blanking rate blanking scattering rate, which go went along with that. However, very soon after there was basically a country, sort of pop story by the Korean, who basically reported that many of these linear temperature dependencies that Pablo is observing, could be potentially also explained by out of the format direction. So there was really a big debate about this. And so I basically worked on the outer form scattering single layer graphene with Philip Kim back back in 2010. And we really sort of felt in the good position to sort of start analyzing this twisted by the system starting from sort of what we have learned in the past from single layer graphene. So single layer graphene is a system which doesn't show strong interactions everything is defined by single particle picture, everything is based like for the liquid. So in principle, we wanted to really first go down onto the sort of lessons learned from single layer graphene and then try to see whether we can directly apply it to twisted by the graphene, and also, and define the limit in which it could hold and the limits and so I'm looking at this data from 2010. Again, what what is striking if you look at the resistivity is a function of temperatures really that indeed at low temperatures, the system behaves some sort of shows some sort of sort of Karlo behavior, and only at higher temperatures and around 100 Kelvin or so it becomes linear. The linear temperature dependence is a high temperature regime, and this is better seen here at the walk walk lots of the subtract the residual and plotted on a walk walk scale. And you can see really in the low temperature limit and something like a two to the four behavior up to around 50 to 100 Kelvin, where then it becomes linear in high temperatures. So basically, this regime is well, very well explained by sort of an effective localizing theory, where basically, instead of the by temperature which sets the energy scales for electron phonons capturing in normal metals, where really the Fermi surface is really big and so the size of the brilliant zone. In the graphene we have of course a semi metallic case where the Fermi surface is much much smaller than the brilliant zone, and therefore, to have quasi elastic scattering of the electrons and phonons on the surface. So we need to sort of define a effective the by temperature, which is basically proportional to the size of the firm surface. And this is basically that this block has a temperature which has a value which is orders of magnitude smaller than the than the real temperature. And because this the by temperature, the block recent temperature is proportional to the firm surface is also proportional directly to a square root and says proportional to the carrot density and can be tuned. And this is also the scene also in our single air graphene data. So the result in Boltzmann transport picture that describes this, this behavior is really giving rise to a linear, a sort of T to the form of a temperature behavior, which then becomes linear in high high temperatures. And so what if I just applied this a very simple theory to twisted by layer, one can immediately sort of find a few parameters that maybe can be normalized here. So just a by layer, of course, as we know, the carrot density can be extremely small. It's, it's in the orders of 10 to the 11 a second meter per square. So in principle, the, the fact that the by temperature can be much smaller here, pushing sort of this low temperature limit to lower temperatures. But still, for us, it was really hard to define, find a scenario where the localizing temperature would be way below 10 Kelvin. Under any sort of circumstances, we would expect the book as a temperature to be much bigger than one Kelvin. So in principle that sets sets us a little bit the limit in which we would expect this thing in temperature dependent so it will be way above one Kelvin and not definitely not below. Another thing which which you can see from this formula is that the Fermi velocity is in the square here in the denominator. And that effectively means that the slope in twisted by layer repeat of this linear temperature dependence can be also extremely high, just because really the Fermi velocity becomes so small in the flat down. Okay, so for this really to address this problem, we really then identified immediately sort of the region, which we wanted to look at that problem we really wanted to go to mili Kelvin temperatures to like basically 40 mili Kelvin, as as low as we can get with our bridges, and to see whether this leading temperature dependence survives here because that would exactly mean that at such low temperatures a form of picture cannot explain the scattering processes, and really, we identified this regime to look at. So what was in the past a little bit challenging. Really, in these devices is that the low temperature regime was typically obscured by a lot of phase transitions so of course you have correlated insulators which said it at one point so these correlated insulators of course obscure this metallic here. So we use one of those devices that we made the producer have a twist angles that goes away from the magic angle, and which shows therefore weaker correlated insulators and also of course this was one of those screen devices that we use. So basically what you can see sort of this device said a really broad metallic region, and the metallic region was not obscured by any correlated insulators we can really study this metallic behavior, starting all the way from 30 Kelvin down to 40 mili Kelvin over three orders of magnitude. And we can really try to take a look what's going on in this metallic region. So basically I want to mention up front so even though the correlated insulator was not strong in this device, this device showed a very strong super connecting dome with a TC of around two Kelvin so in principle, as I will later on also show. This gave us also the opportunity to study sort of what's going on with the superconductor in this sort of strange metal please. So basically, this is the data that you obtained. So, similar to what we plotted for single leg graphene so we put resistivity as a function of temperature, and you already can see that in the center of the band so basically fulfilling factors of minus two minus 2.8 minus 1.6 the center of the band, really the center of the band are many curves that are very linear. And when we go away from the center of the bands we observe something more like parallel behavior, like here for example closer to Charlie point it looks much more like parallel behavior now and also closer to the band insulator here. Again, much better visible is the subtracted and lock lock scale up here so really, if we take some of these curves at the center of the of the band, they're linear over three orders of magnitude, all the way from 40 million Kelvin to 30 Kelvin. And again close to the band edges it's again it's rather a T squared dependence so here T one part one point nine or two part two point one. So close to the band edges and church and charity point this sort of linear temperature dependence really disappears. And if we now tried to sort of plot, where we would expect sort of the, the lowest limit of what we as a temperature that we can really argue here, then it's really sitting somewhere in the center of these linear curves. It's everything which is below that temperature, and specifically the 40 million Kelvin regime and so on. We really cannot explain by the electronic interaction and therefore we conclude that this is really a good sort of a hint that really the strange metal phase is sort of the preferred way of thinking about this. Of course, as I mentioned before. I'm sorry there is a question in the chat maybe you would like to answer me the different person. So what is the possible origin of the large residual resistivity, can it derive from angular disorder. Here in the device you showed that what is the origin. Okay, so basically why is the resistivity here to all right that's the question, the residual resistivity. What is the what is the origin of such a large residual resistivity. Right, so I mean, this is this is the, this is the big question I guess so I think one can argue that this is really some interactions. Maybe some again some some magnetic fluctuations and so on which gives you rise to the strong scattering events. Of course, some other people would argue that maybe some abundant soft mode soft modes, maybe even phone on soft modes are residing at these low levels. So this is in large part open question. I think disorder and twist angle disorder. I mean, to my taste, this is maybe explaining it much less because my argument for this would be the measure also devices with 1.2 degrees 1.3 degrees, which in principle have the same risk angle disorder as this magic angle graphene devices. There's also much lower residual resistances. They behave they look much more like single they start to look much more like single layer graphene. And for me this is striking that this residual resistance is such a steep function of the twist angle. And really it's becomes only so big when also interactions become big. But of course I don't know maybe there's some scenario where interactions are enhanced with disorder. Overall, I would say it's an open question at this point. Can you hear me Dimitri. Yeah, yeah, just the resistance seems to be much larger in this sample where you've tuned away from the magic angle and it is at the magic angle or did I get that wrong. A large offset, your resistivity curves look a lot like Serium copper six gold, where there is a linear resistance but it's small compared to the or comparable compared with the with the residual resistivity here. Okay. Is this the same. Is this the same seat as seen in the magic angle samples. Okay, so I see. Okay. Maybe this is not good to look at this data right now because we offset the curves to make. Yeah, maybe it's better to look at Pablo's data here. Yes, so if you, if you take Pablo's data, you can sort of go to my search. I see I get the slope is actually the slope is easily 50% per Kelvin or something like that. Yeah, the length the rise over the 30, 30 Kelvin region is much larger than the residual resistivity in your. Exactly. Okay, it's almost like an auto of magnitude larger yeah that's right. Okay, thank you that was very confusing. Thank you very much. Any more questions about. Okay, otherwise, I'll move on and so okay so I think. Okay, so I think based on this data which I showed you I think it's a rather a test sort of sort of more close look at what happens at low temperatures and I think we like to confirm our findings with the early findings of public. We also like to make a little bit more tests to to sort of this behavior, and one test which I mentioned at the very beginning is also my meter resistance, and strikingly also them a meter resistance that we observe here shows a very similar trend to what the linear temperature is. So, so, again, in the center of the band at feeling factor minus two or, again, close to it. We see a striking linear material resistance, which then becomes much more power law behavior dependent. When we move closer to the band edges to the insulators to the single particle insulators into the charge to tell the point. The second thing is really the density dependence, over which we observe the magneto resistance, and the linear temperature dependence are exactly the same. So really this, this linear and T and linear and B dependence arises at exactly the same carrier densities. Not, not just that but also the temperature dependence on which we observe this linear magneto resistance is also almost the same to the range and temperature on which we observe the linear temperature dependence so, for example, here really at 40 million Kelvin. We observe a really steep linear magneto resistance, however, at around 50 Kelvin, it's almost gone, similar to sort of the temperature at which the linear temperature dependence also stops to exist so so also the temperature dependence over which we observe these effects seems to be also coinciding. Of course, we also did analysis of the scattering rates so again we just measured the, the effective mass from the house installations and we were able to really sort of extract the scattering rates for all of these curves. And really compare them to what's expected from banking scattering rate each bar over TVT. And really for the whole range of this linear temperature dependence. Again, over three orders of magnitude starting from 40 million Kelvin we observe that all of these curves that show linear magnetors, linear temperature dependence they also show a planking limit. And really this is particularly surprising that even at 40 million Kelvin. This planking limit holds, which again, to me, kind of maybe this is the previous question to me this is a kind of maybe some, some argument that maybe there is some scattering event intrinsic scattering event in the system maybe tied again with the strong correlations in the system that is present even at the lowest which would maybe give rise to such a fast scattering rate. But this is of course, this is just brainstorming so of course, of course, many other things could maybe explain this as well. So one thing I want to also really show you to convince you that is that really we also studied all the different twist angles. We studied a number of devices, most of the magic angle, where again strong correlations. In particular, superconductivity signatures of correlate insulators and so on was observed. These devices all showed this linear temperature dependence. And then of course we had a number of devices where the twist angle was already much bigger so for example 1.3 1.4 1.5 degrees. And in these devices which were away from the magic angle where we don't see strong correlations. All of this sort of strange metal behavior was gone. And this is for example shown here in this device for 1.4 degrees. All of these devices. If I look at them. They don't show really pronounced linear temperature dependence at low temperatures and in general this device to me looks much more similar to single layer graphene. Then to then to whatever we see a magic angle and also looking at the residual resistance here again these curves are offset but this blue curve is is probably the right one. So you see so the residual resistance in a 1.4 degree device is already in order of magnitude lower than the residual resistance and magic angle graphene so somehow. So if this residual resistance is a strong function of the of the of the twist angle or in other words, maybe of the interactions that are that are present in the system. Okay, so one thing I also want to show is of course the superconducting dome here, which I showed you here. We, of course, wanted to know what is sort of the underlying metallic state for the superconducting dome so superconductivity can be killed in this evaluation of him by applying a very small magnetic field of around 300 million Tesla. So again, I think it incorporates right you need to apply something like 60 Tesla to kill the killer superconductivity and see what's underneath here is really survive with 30 300 million Tesla. So we then sort of look at this metallic state of 300 million Tesla. We also recovered this when your temperature dependence and linear magnet resistance. And really this kind of maybe is a way of saying that it looks like that the underlying parent state of the superconductivity is really this strange metal. So it sort of is the underlying parent state of the superconducting. And with this I really want to sort of show you the face diagram here. So really, the obtained face diagram as a function of temperature and carry density is some something like the following so indeed at the band gap edges. Close to the band insulator and close to the charge neutrality. This is basically where typically we don't expect strong interactions. This is typically a very dilute sort of system here. So we really observed this firm liquid like behavior which again manifested itself in a E squared and B squared resistivity. Then in the center of the band. Really, we observe a broader region of strange metal, which is, which sort of has linear temperature dependence on the resistance and planking scattering rates. The superconducting dome that we see here is really somehow embedded in a in this broader strange metal region so we kill the superconductor by small magnetic field we obtain again this strange metal phase. And with this, I really without sort of any sort of claim to to understand the physics here, really just a hand waving sort of analogy so of course, we talk to Pierce Coleman about this and of course we read also the papers and of course, a lot of this strange metal behavior seems seems to might to maybe has its origin. The resistance due to this quantum critical point between a normal metal and some sort of magnetic ordering that that occurs in many of these systems. And of course magnetic ordering. This is very abundant and twisted by the graphene so this is for example, a recent work of ours and I was out of which we were able to image this rich magnetic domain wall structure and twisted by the graphene. Most of the time it's not single ferromagnetism but it's some sort of SU for so spin and value for magnetism, where of course these magnetic states have often a strong orbital component to it but also so basic non trivial spin texture as well. And of course I think this is just sort of one way to start thinking about the system that maybe really magnetic fluctuations play really a big role here in the low temperature limit. Not settling the issue at all, of course, many other people are proposing some other soft modes even electron phonon interactions that potentially could give rise to it but I think it's, it's an open question at this point but it's, I think, at least to at least from our side we are getting a sense that the analogy to other strange metals here is much bigger than than maybe for the beginning. And with this I think I'm almost out of time so I think maybe I skipped the magnetic chosen junctions and we have more time for questions then. Thank you. Thank you. So there are a couple of questions. Yes, in the chat already here so let's start from the audience. I think that the larger residual resistivity at small twist angles is due to this twist angle disorder that's more prevalent at small twist angles. Yeah that's right so this is the very same question I had earlier in the talk. So, for this. Yeah so maybe maybe let me show you this graph here. So, from what I understand about twist angle disorder with angle disorder between 1.1 degrees and 1.2 and 1.3 degrees should not be really dramatically different. So, so basically let's assume the twist angle disorder from 1.1 and 1.3 is almost the same. What you can see from these graphs here that I'm plotting is that the residual resistance is extremely enhanced close to the magic angle. So close to the magic angle the residual resistance is around one kilo ohm, whereas for 1.3 and 1.4 one of the five degrees is closer to 100 ohm so maybe like even even below that. So there's a dramatic enhancement of the residual resistivity close to the magic angle. And I don't think it can be just directly explained by twist angle disorder. So it's good, however, that maybe something couples to the disorder strong more strongly at at magic angle. So maybe there's some effect that were interaction enhanced interactions flat bands and disorder maybe combined player role that that I can't do, but not to a single disorder by itself, then I don't think so. Thank you, Timothy. Another question here. If you apply magnetic field and the strange metal phase, do you still get a linear tear resistivity. Yeah, yeah. Right, yeah, so we do. I mean, maybe you can. Maybe this is seen here. I mean, we've checked that so you do. Basically, this this shows you sort of the data at 300 million Tesla right. You see that the linear magnet resistance is still there. So linear temperature dependence is still there. And 300 million Tesla is already where we observe this. This effect here. So if you kill the magnetic fluctuation by applying the magnetic field, why should the strange metallic is still persons. I mean, well, yeah, so maybe maybe there's, I mean, I think exactly so I think I'll probably try to avoid to to make a certain mechanism responsible for this. So whenever you make a mechanism responsible for this and you find who calls how to avoid it right so. Yeah. So that's probably a question you can ask for any other strange metal system for the cooperates you can ask the same question, right. Thanks. Yes, another question. So actually, firstly, this may not be known but what happens to the resistivity at much higher temperatures does it saturate or does it continue to up linearly the second question was have you actually thought about what might happen to the bone on spectrum and twisted. Exactly. So basically, above 30 Kelvin. Typically, the resistance becomes non monotonic so it become actually as you can see here and starts to drop before it starts going up again. And then at high temperatures it behaves really more like a little phonon so I think people try to fit the high temperature limit, I mean the hundred above 100 Kelvin. People try to fit the limit to, for example, club for non spectrum. And that works okay okay I would say. This downturn here is the also understand that downturn that's not monotonicity. This is actually when the temperature broadening becomes comparable to the band gaps in the system. So again the flat bands are separated by small band gaps to higher order dispersive bands. And this is around the same and this is around this happens around 50 Kelvin or so. And this is basically where higher order bands become populated and of course your resistance then has a multi band transport properties and the resistance goes down. So this is what this we understand but we of course don't know if if the strange metal face would I mean if we would not populate the higher order bands if the strange metal face would continue. We don't know that, of course. The second question was about moray phonons right so basically okay yeah yeah so of course of course this is a question which we get a lot so basically of course the block runa is an analogy that used here. This is an analogy sort of in the same model is in single layer graphene. And of course, we don't assume any moray phonons here. I think what I can say about this is that somehow there has not been too much. I mean, maybe, maybe I'm, maybe I'm not correct about this but I'll be happy to learn about it. There's not been so much work that I'm aware of on moray phonons yet, and in general, experimental studies on phonons on the system are not that abundant at this point. So I think we don't exclude this possibility at all. I think we will be happy to to learn more about it. One thing in the context of a phonons still is the surprising thing is the linear meter resistance. So I think a linear temperature dependence one can explain with a lot of soft mode phonons models and so on. And I think the linear magneto resistance is a little harder to explain with with a photo picture to think, right, this is sort of our thinking at this point about it. And sorry, we are really running out of time so maybe if there is, there are a couple of questions in the chat if somebody wants to ask maybe. Can you on the microphone and ask it. Yes, I have a hand up. Wonderful talk, but for three years I've seen this similar behavior and I've always asked you the same question what does the whole constant do. Yes, we're doing that experiment now. You don't know yet. Okay, thank you. We don't know yet. Okay, so anybody has wants to ask a question from the chat maybe switch on the microphone. Otherwise. Okay, so we thank you again Dimitri for the very nice talk. Hi. So since we are a bit delay, so please come back in 20 minutes and speakers of the next session please log in in zoom for so that way you come here everything set up. Thank you.