Found 22 papers in cond-mat
Date of feed: Mon, 12 Jun 2023 00:30:00 GMT

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The BHL-BCL crossover: from nonlinear to linear quantum amplification. (arXiv:2306.05458v1 [cond-mat.quant-gas])
Juan Ramón Muñoz de Nova, Fernando Sols

The black-hole laser (BHL) effect is the self-amplification of Hawking radiation in the presence of a pair of horizons which act as a resonant cavity. Its clear observation still remains a major challenge in the analogue gravity field. In a flowing atomic condensate, the BHL effect arises in a finite supersonic region, where Bogoliubov-Cherenkov-Landau (BCL) radiation is resonantly excited by any static perturbation. Thus, any experimental attempt to produce a BHL will deal with the presence of a BCL background, as already observed in experiments. Here, we perform a theoretical study of the BHL-BCL crossover using an idealized model where both phenomena can be unambiguously isolated. By drawing an analogy with an unstable pendulum, we distinguish three main regimes according to the interplay between quantum fluctuations and classical stimulation: quantum BHL, classical BHL, and BCL. Based on quite general scaling arguments, the nonlinear amplification of quantum fluctuations until saturation is identified as the most robust trait of a quantum BHL. A classical BHL behaves instead as a linear quantum amplifier, where the output is proportional to the input. Finally, the BCL regime also acts as a linear quantum amplifier, but its gain is exponentially smaller as compared to a classical BHL. The results of this work not only are of interest for analogue gravity, where they help to distinguish unambiguously each phenomenon and to design experimental schemes for a clear observation of the BHL effect, but they also open the prospect of finding applications of analogue concepts in quantum technologies.


Bicolor loop models and their long range entanglement. (arXiv:2306.05464v1 [quant-ph])
Zhao Zhang

Quantum loop models are well studied objects in the context of lattice gauge theories and topological quantum computing. They usually carry long range entanglement that is captured by the topological entanglement entropy. I consider generalization of the toric code model to bicolor loop models and show that the long range entanglement can be reflected in three different ways: a topologically invariant constant, a sub-leading logarithmic correction to the area law, or a modified bond dimension for the area-law term. The Hamiltonians are not exactly solvable for the whole spectra, but admit a tower of area-law exact excited states corresponding to the frustration free superposition of loop configurations with arbitrary pairs of localized vertex defects. The continuity of color along loops imposes kinetic constraints on the model and results in Hilbert space fragmentation, unless plaquette operators involving two neighboring faces are introduced to the Hamiltonian.


Mean-field models for the chemical fueling of transient soft matter states. (arXiv:2306.05504v1 [cond-mat.soft])
Sven Pattloch, Joachim Dzubiella

The chemical fueling of transient states (CFTS) is a powerful process to control the nonequilibrium structuring and the homeostatic function of adaptive soft matter systems. Here, we introduce a mean-field model of CFTS based on the activation of metastable equilibrium states in a tilted Landau bistable energy landscape along a coarse-grained reaction coordinate (or order parameter) triggered by a nonmonotonic two-step chemical fueling reaction. Evaluation of the model in the quasi-static (QS) limit - valid for fast system relaxation - allows us to extract useful analytical laws for the critical activation concentration and duration of the transient states in dependence of physical parameters, such as rate constants, fuel concentrations, and the system's distance to its equilibrium transition point. We apply our model in the QS limit to recent experiments of CFTS of collapsing responsive microgels and find a very good performance with only a few global and physically interpretable fitting parameters, which can be employed for programmable material design. Moreover, our model framework also allows a thermodynamic analysis of the energy and performed work in the system. Finally, we go beyond the QS limit, where the system's response is slow and retarded versus the chemical reaction, using an overdamped Smoluchowski approach. The latter demonstrates how internal system time scales can be used to tune the time-dependent behavior and programmed delay of the transient states in full nonequilibrium.


Mapping domain junctions using 4D-STEM: toward controlled properties of epitaxially grown transition metal dichalcogenide monolayers. (arXiv:2306.05505v1 [cond-mat.mtrl-sci])
Djordje Dosenovic, Samuel Dechamps, Celine Vergnaud, Sergej Pasko, Simonas Krotkus, Michael Heuken, Luigi Genovese, Jean-Luc Rouviere, Martien den Hertog, Lucie Le Van-Jodin, Matthieu Jamet, Alain Marty, Hanako Okuno

Epitaxial growth has become a promising route to achieve highly crystalline continuous two-dimensional layers. However, high-quality layer production with expected electrical properties is still challenging due to the defects induced by the coalescence between imperfectly aligned domains. In order to control their intrinsic properties at the device scale, the synthesized materials should be described as a patchwork of coalesced domains. Here, we report multi-scale and multistructural analysis on highly oriented epitaxial WS$_2$ and WSe$_2$ monolayers using scanning transmission electron microscopy (STEM) techniques. Characteristic domain junctions are first identified and classified based on the detailed atomic structure analysis using aberration corrected STEM imaging. Mapping orientation, polar direction and phase at the micrometer scale using four-dimensional STEM enabled to access the density and the distribution of the specific domain junctions. Our results validate a readily applicable process for the study of highly oriented epitaxial transition metal dichalcogenides, providing an overview of synthesized materials from large scale down to atomic scale with multiple structural information.


Twofold topological phase transitions induced by third-nearest-neighbor interactions in 1D chains. (arXiv:2306.05595v1 [cond-mat.mtrl-sci])
Yonatan Betancur-Ocampo, B. Manjarrez-Montañez, A.M. Martínez-Argüello, Rafael A. Méndez-Sánchez

Strong long-range interactions up to third nearest neighbors may induce a topological phase transition in one-dimensional chains. Unlike the Su-Schrieffer-Heeger model, this transition from trivial to topological phase occurs with the emergence of a pseudospin valley structure and a twofold nontrivial topological phase. Within a tight-binding approach, these topological phases are analyzed in detail and it is shown that the low-energy excitations follow a modified Dirac equation. An experimental realization in a one-dimensional elastic chain, where it is feasible to tune directly the third-nearest-neighbor interaction strength, is proposed.


Topologically protected vortex transport via chiral-symmetric disclination. (arXiv:2306.05601v1 [physics.optics])
Zhichan Hu, Domenico Bongiovanni, Ziteng Wang, Xiangdong Wang, Daohong Song, Jingjun Xu, Roberto Morandotti, Hrvoje Buljan, Zhigang Chen

Vortex phenomena are ubiquitous in nature, from vortices of quantum particles and living cells [1-7], to whirlpools, tornados, and spiral galaxies. Yet, effective control of vortex transport from one place to another at any scale has thus far remained a challenging goal. Here, by use of topological disclination [8,9], we demonstrate a scheme to confine and guide vortices of arbitrary high-order charges10,11. Such guidance demands a double topological protection: a nontrivial winding in momentum space due to chiral symmetry [12,13] and a nontrivial winding in real space arising from collective complex coupling between vortex modes. We unveil a vorticity-coordinated rotational symmetry, which sets up a universal relation between the topological charge of a guided vortex and the order of rotational symmetry of the disclination structure. As an example, we construct a C3-symmetry photonic lattice with a single-core disclination, thereby achieving robust transport of an optical vortex with preserved orbital angular momentum (OAM) that corresponds solely to one excited vortex mode pinned at zero energy. Our work reveals a fundamental interplay of vorticity, disclination and higher-order topological phases14-16, applicable broadly to different fields, promising in particular for OAM-based photonic applications that require vortex guides, fibers [17,18] and lasers [19].


Giant Hall Switching by Surface-State-Mediated Spin-Orbit Torque in a Hard Ferromagnetic Topological Insulator. (arXiv:2306.05603v1 [cond-mat.mes-hall])
Lixuan Tai, Haoran He, Su Kong Chong, Huairuo Zhang, Gang Qiu, Yaochen Li, Hung-Yu Yang, Ting-Hsun Yang, Xiang Dong, Yuxing Ren, Bingqian Dai, Tao Qu, Qingyuan Shu, Quanjun Pan, Peng Zhang, Albert V. Davydov, Kang L. Wang

Topological insulators (TI) can apply highly efficient spin-orbit torque (SOT) and manipulate the magnetization with their unique topological surface states, and their magnetic counterparts, magnetic topological insulators (MTI) offer magnetization without shunting and are one of the highest in SOT efficiency. Here, we demonstrate efficient SOT switching of a hard MTI, V-doped (Bi,Sb)2Te3 (VBST) with a large coercive field that can prevent the influence of an external magnetic field and a small magnetization to minimize stray field. A giant switched anomalous Hall resistance of 9.2 $k\Omega$ is realized, among the largest of all SOT systems. The SOT switching current density can be reduced to $2.8\times10^5 A/cm^2$, and the switching ratio can be enhanced to 60%. Moreover, as the Fermi level is moved away from the Dirac point by both gate and composition tuning, VBST exhibits a transition from edge-state-mediated to surface-state-mediated transport, thus enhancing the SOT effective field to $1.56\pm 0.12 T/ (10^6 A/cm^2)$ and the spin Hall angle to $23.2\pm 1.8$ at 5 K. The findings establish VBST as an extraordinary candidate for energy-efficient magnetic memory devices.


Ordering in SU(4)-symmetric model of AA bilayer graphene. (arXiv:2306.05796v1 [cond-mat.mes-hall])
A.V. Rozhkov, A.O. Sboychakov, A.L. Rakhmanov

We examine possible ordered states of AA stacked bilayer graphene arising due to electron-electron coupling. We show that under certain assumptions the Hamiltonian of the system possesses an SU(4) symmetry. The multicomponent order parameter is described by a $4\times4$ matrix $\hat{Q}$, for which a mean-field self-consistency equation is derived. This equation allows Hermitian and non-Hermitian solutions. Hermitian solutions can be grouped into three topologically-distinct classes. First class corresponds to the charge density wave. Second class includes spin density wave, valley density wave, and spin-valley density wave. An ordered state in the third class is a combination of all the aforementioned density-wave types. For anti-Hermitian $\hat{Q}$ the ordered state is characterized by a spontaneous inter-layer loop currents flowing in the bilayer. Depending on the topological class of the solution these currents can carry charge, spin, valley, and spin-valley quanta. We also discuss the special case when matrix $\hat{Q}$ is not Hermitian and not anti-Hermitian. Utility and weak points of the proposed SU(4)-based classification scheme of the ordered states are analyzed.


Heat transport in a Coulomb ion crystal with a topological defect. (arXiv:2306.05845v1 [physics.atom-ph])
L. Timm, H. Weimer, L. Santos, T. E. Mehlstäubler

The thermodynamics of low-dimensional systems departs significantly from phenomenologically deducted macroscopic laws. Particular examples, not yet fully understood, are provided by the breakdown of Fourier's law and the ballistic transport of heat. Low-dimensional trapped ion systems provide an experimentally accessible and well-controlled platform for the study of these problems. In our work, we study the transport of thermal energy in low-dimensional trapped ion crystals, focusing in particular on the influence of the Aubry-like transition that occurs when a topological defect is present in the crystal. We show that the transition significantly hinders efficient heat transport, being responsible for the rise of a marked temperature gradient in the non-equilibrium steady state. Further analysis reveals the importance of the motional eigenfrequencies of the crystal.


Dynamic structure factor of two-dimensional Fermi superfluid with Rashba spin-orbit coupling. (arXiv:2306.05868v1 [cond-mat.quant-gas])
Huaisong Zhao, Xu Yan, Shi-Guo Peng, Peng Zou

We theoretically calculate the dynamic structure factor of two-dimensional Rashba-type spinorbit coupled (SOC) Fermi superfluid with random phase approximation, and analyse the main characters of dynamical excitation sh own by both density and spin dynamic structure factor during a continuous phase transition between Bardeen-Cooper-Schrieffer superfluid and topological superfluid. Generally we find three different excitations, including collective phonon excitation, two-atom molecular and atomic excitations, and pair-breaking excitations due to two-branch structure of quasi-particle spectrum. It should be emphasized that collective phonon excitation is overlapped with a gapless DD type pair-breaking excitation at the critical Zeeman field hc, and is imparted a finite width to phonon peak when transferred momentum q is around Fermi vector kF. At a much larger transferred momentum (q = 4kF ), the pair-breaking excitation happens earlier than two-atom molecular excitation, which is different from the conventional Fermi superfluid without SOC effect.


The emergence of global phase coherence from local pairing in underdoped cuprates. (arXiv:2306.05926v1 [cond-mat.supr-con])
Shusen Ye, Changwei Zou, Hongtao Yan, Yu Ji, Miao Xu, Zehao Dong, Yiwen Chen, Xingjiang Zhou, Yayu Wang

In conventional metal superconductors such as aluminum, the large number of weakly bounded Cooper pairs become phase coherent as soon as they start to form. The cuprate high critical temperature ($T_c$) superconductors, in contrast, belong to a distinctively different category. To account for the high $T_c$, the attractive pairing interaction is expected to be strong and the coherence length is short. Being doped Mott insulators, the cuprates are known to have low superfluid density, thus are susceptible to phase fluctuations. It has been proposed that pairing and phase coherence may occur separately in cuprates, and $T_c$ corresponds to the phase coherence temperature controlled by the superfluid density. To elucidate the microscopic processes of pairing and phase ordering in cuprates, here we use scanning tunneling microscopy to image the evolution of electronic states in underdoped $\rm Bi_2La_xSr_{2-x}CuO_{6+{\delta}}$. Even in the insulating sample, we observe a smooth crossover from the Mott insulator to superconductor-type spectra on small islands with chequerboard order and emerging quasiparticle interference patterns following the octet model. Each chequerboard plaquette contains approximately two holes, and exhibits a stripy internal structure that has strong influence on the superconducting features. Across the insulator to superconductor boundary, the local spectra remain qualitatively the same while the quasiparticle interferences become long-ranged. These results suggest that the chequerboard plaquette with internal stripes plays a crucial role on local pairing in cuprates, and the global phase coherence is established once its spatial occupation exceeds a threshold.


Risk aversion promotes cooperation. (arXiv:2306.05971v1 [physics.soc-ph])
Jay Armas, Wout Merbis, Janusz Meylahn, Soroush Rafiee Rad, Mauricio J. del Razo

Cooperative dynamics are central to our understanding of many phenomena in living and complex systems, including the transition to multicellularity, the emergence of eusociality in insect colonies, and the development of full-fledged human societies. However, we lack a universal mechanism to explain the emergence of cooperation across length scales, across species, and scalable to large populations of individuals. We present a novel framework for modelling cooperation games with an arbitrary number of players by combining reaction networks, methods from quantum mechanics applied to stochastic complex systems, game theory and stochastic simulations of molecular reactions. Using this framework, we propose a novel and robust mechanism based on risk aversion that leads to cooperative behaviour in population games. Rather than individuals seeking to maximise payouts in the long run, individuals seek to obtain a minimum set of resources with a given level of confidence and in a limited time span. We explicitly show that this mechanism leads to the emergence of new Nash equilibria in a wide range of cooperation games. Our results suggest that risk aversion is a viable mechanism to explain the emergence of cooperation in a variety of contexts and with an arbitrary number of individuals greater than three.


The structural stability and polarization analysis of rhombohedral phase HfO2. (arXiv:2306.06018v1 [cond-mat.mtrl-sci])
Wenbin Ouyang, Fanghao Jia, Wei Ren

A comparative theoretical study is presented for the rhombohedral R3 and R3m phase HfO2, of two possible forms in its heavily Zr-doped ferroelectric thin films found recently in experiments. Their structural stability and polarization under the in-plane compressive strain are comprehensively investigated. We discovered that there is a phase transition from R3 to R3m phase under the biaxial compressive strain. Both the direction and amplitude of their polarization can be tuned by the strain. By performing a symmetry mode analysis, we are able to understand its improper nature of the ferroelectricity. These results may help to shed light on the understanding of the hafnia ferroelectric thin films.


There's Plenty of Room in the Middle: The Unsung Revolution of the Renormalization Group. (arXiv:2306.06020v1 [cond-mat.stat-mech])
Nigel Goldenfeld

The remarkable technical contributions of Michael E. Fisher to statistical physics and the development of the renormalization group are widely known and deeply influential. But less well-known is his early and profound appreciation of the way in which renormalization group created a revolution in our understanding of how physics -- in fact, all science -- is practiced, and the concomitant adjustment that needs to be made to our conception of the purpose and philosophy of science. In this essay, I attempt to redress this imbalance, with examples from Fisher's writings and my own work. It is my hope that this tribute will help remove some of the confusion that surrounds the scientific usage of minimal models and renormalization group concepts, as well as their limitations, in the ongoing effort to understand emergence in complex systems.

This paper will be published in "50 years of the renormalization group", dedicated to the memory of Michael E. Fisher, edited by Amnon Aharony, Ora Entin-Wohlman, David Huse and Leo Radzihovsky, World Scientific (in press).


Hexagonal warping on optical conductivity of surface states in Topological Insulator Bi_{2}Te_{3}. (arXiv:1304.2218v2 [cond-mat.mes-hall] UPDATED)
Zhou Li, J. P. Carbotte

ARPES studies of the protected surface states in the Topological Insulator $% Bi_{2}Te_{3}$ have revealed the existence of an important hexagonal warping term in its electronic band structure. This term distorts the shape of the Dirac cone from a circle at low energies to a snowflake shape at higher energies. We show that this implies important modifications of the interband optical transitions which no longer provide a constant universal background as seen in graphene. Rather the conductivity shows a quasilinear increase with a slightly concave upward bending as energy is increased. Its slope increases with increasing magnitude of the hexagonal distortion as does the magnitude of the jump at the interband onset. The energy dependence of the density of states is also modified and deviates downward from linear with increasing energy.


Spectral signatures of a unique charge density wave in Ta$_2$NiSe$_7$. (arXiv:2210.00447v2 [cond-mat.str-el] UPDATED)
Matthew D. Watson, Alex Louat, Cephise Cacho, Sungkyun Choi, Young Hee Lee, Michael Neumann, Gideok Kim

Charge Density Waves (CDW) are commonly associated with the presence of near-Fermi level states which are separated from others, or "nested", by a wavector of $\mathbf{q}$. Here we use Angle-Resolved Photo Emission Spectroscopy (ARPES) on the CDW material Ta$_2$NiSe$_7$ and identify a total absence of any plausible nesting of states at the primary CDW wavevector $\mathbf{q}$. Nevertheless we observe spectral intensity on replicas of the hole-like valence bands, shifted by a wavevector of $\mathbf{q}$, which appears with the CDW transition. In contrast, we find that there is a possible nesting at $\mathbf{2q}$, and associate the characters of these bands with the reported atomic modulations at $\mathbf{2q}$. Our comprehensive electronic structure perspective shows that the CDW-like transition of Ta$_2$NiSe$_7$ is unique, with the primary wavevector $\mathbf{q}$ being unrelated to any low-energy states, but suggests that the reported modulation at $\mathbf{2q}$, which would plausibly connect low-energy states, might be more important for the overall energetics of the problem.


Kramers nodal lines and Weyl fermions in SmAlSi. (arXiv:2210.13538v3 [cond-mat.mtrl-sci] UPDATED)
Yichen Zhang, Yuxiang Gao, Xue-Jian Gao, Shiming Lei, Zhuoliang Ni, Ji Seop Oh, Jianwei Huang, Ziqin Yue, Marta Zonno, Sergey Gorovikov, Makoto Hashimoto, Donghui Lu, Jonathan D. Denlinger, Robert J. Birgeneau, Junichiro Kono, Liang Wu, Kam Tuen Law, Emilia Morosan, Ming Yi

Kramers nodal lines (KNLs) have recently been proposed theoretically as a special type of Weyl line degeneracy connecting time-reversal invariant momenta. KNLs are robust to spin orbit coupling and are inherent to all non-centrosymmetric achiral crystal structures, leading to unusual spin, magneto-electric, and optical properties. However, their existence in in real quantum materials has not been experimentally established. Here we gather the experimental evidence pointing at the presence of KNLs in SmAlSi, a non-centrosymmetric metal that develops incommensurate spin density wave order at low temperature. Using angle-resolved photoemission spectroscopy, density functional theory calculations, and magneto-transport methods, we provide evidence suggesting the presence of KNLs, together with observing Weyl fermions under the broken inversion symmetry in the paramagnetic phase of SmAlSi. We discuss the nesting possibilities regarding the emergent magnetic orders in SmAlSi. Our results provide a solid basis of experimental observations for exploring correlated topology in SmAlSi.


Viscous heat backflow and temperature resonances in extreme thermal conductors. (arXiv:2303.12777v4 [cond-mat.mtrl-sci] UPDATED)
Jan Dragašević, Michele Simoncelli

We demonstrate that non-diffusive, fluid-like heat transport, such as heat backflowing from cooler to warmer regions, can be induced, controlled, and amplified in extreme thermal conductors such as graphite and hexagonal boron nitride. We employ the viscous heat equations, i.e. the thermal counterpart of the Navier-Stokes equations in the laminar regime, to show with first-principles quantitative accuracy that a finite thermal viscosity yields steady-state heat vortices, and governs the magnitude of transient temperature waves. Finally, we devise strategies that exploit devices' boundaries and resonance to amplify and control heat hydrodynamics, paving the way for novel experiments and applications in next-generation electronic and phononic technologies.


Asymmetries in triboelectric charging: generalizing mosaic models to different-material samples and sliding contacts. (arXiv:2304.12861v3 [cond-mat.soft] UPDATED)
Galien Grosjean, Scott Waitukaitis

Nominally identical materials exchange net electric charge during contact through a mechanism that is still debated. `Mosaic models', in which surfaces are presumed to consist of a random patchwork of microscopic donor/acceptor sites, offer an appealing explanation for this phenomenon. However, recent experiments have shown that global differences persist even between same-material samples, which the standard mosaic framework does not account for. Here, we expand the mosaic framework by incorporating global differences in the densities of donor/acceptor sites. We develop an analytical model, backed by numerical simulations, that smoothly connects the global and deterministic charge transfer of different materials to the local and stochastic mosaic picture normally associated with identical materials. Going further, we extend our model to explain the effect of contact asymmetries during sliding, providing a plausible explanation for reversal of charging sign that has been observed experimentally.


Graphene-Based Transparent Flexible Strain Gauges with Tunable Sensitivity and Strain Range. (arXiv:2304.14297v2 [physics.app-ph] UPDATED)
Joseph Neilson, Pietro Cataldi, Brian Derby

Flexible strain gauges with 88% optical transmittance, of reduced graphene oxide (rGO) on poly dimethylsiloxne membranes, are produced form monolayers of graphene oxide assembled into densely packed sheets at an immiscible hexane/water interface and subsequently reduced in HI vapor to increase electrical conductivity. Pre-straining and relaxing the membranes introduces a population of cracks into the rGO film. Subsequent straining opens these cracks, inducing piezoresistivity. Reduction for 30 s forms an array of parallel cracks that do not individually span the membrane and results in a strain gauge with a usable strain range > 0.2 and gauge factor of 20 - 100 at low strain levels that increases with increasing pre-strain. In all cases the gauge facto decreases with increasing applied strain and asymptotes to a value of about 3, as it approaches the pre-strain value. If the rGO is reduced for 60 s, the cracks fully span the width of the membrane, leading to an increased gauge resistance but a much more sensitive strain gauge with GF ranging from 1000 - 16000. However, the usable strain range reduces to < 0.01. A simple equivalent resistor model is proposed to describe the behaviour of both gauge types. The gauges show a repeatable and stable response with loading frequencies up to 1 kHz and have been used to detect human body motion in a simple e-skin demonstration.


Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems. (arXiv:2305.03190v2 [cond-mat.stat-mech] UPDATED)
Ryusuke Hamazaki

How multiple observables mutually influence their dynamics has been a crucial issue in statistical mechanics. We introduce a new concept, "quantum velocity limits," to establish a quantitative and rigorous theory for non-equilibrium quantum dynamics for multiple observables. Quantum velocity limits are universal inequalities for a vector the describes velocities of multiple observables. They elucidate that the speed of an observable of our interest can be tighter bounded when we have knowledge of other observables, such as experimentally accessible ones or conserved quantities, compared with the conventional speed limits for a single observable. We first derive an information-theoretical velocity limit in terms of the generalized correlation matrix of the observables and the quantum Fisher information. The velocity limit has various novel consequences: (i) conservation law in the system, a fundamental ingredient of quantum dynamics, can improve the velocity limits through the correlation between the observables and conserved quantities; (ii) speed of an observable can be bounded by a nontrivial lower bound from the information on another observable; (iii) there exists a notable non-equilibrium tradeoff relation, stating that speeds of uncorrelated observables, e.g., anti-commuting observables, cannot be simultaneously large; (iv) velocity limits for any observables on a local subsystem in locally interacting many-body systems remain convergent even in the thermodynamic limit. Moreover, we discover another distinct velocity limit for multiple observables on the basis of the local conservation law of probability current, which becomes advantageous for macroscopic transitions of multiple quantities.


Non-Hermitian Floquet Topological Matter -- A Review. (arXiv:2305.16153v2 [quant-ph] CROSS LISTED)
Longwen Zhou, Da-Jian Zhang

Non-Hermitian Floquet topological phases appear in systems described by time-periodic non-Hermitian Hamiltonians. This review presents a sum-up of our studies on non-Hermitian Floquet topological matter in one and two spatial dimensions. After a brief overview of the literature, we introduce our theoretical framework for the study of non-Hermitian Floquet systems and the topological characterization of non-Hermitian Floquet bands. Based on our theories, we describe typical examples of non-Hermitian Floquet topological insulators, superconductors and quasicrystals with a focus on their topological invariants, bulk-edge correspondences, non-Hermitian skin effects, dynamical properties and localization transitions. We conclude this review by summarizing our main discoveries and discussing potential future directions.