Floquet topological insulators

Abstract

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which provides topological protections. While conventional tools (pressure, doping etc.) to modify the band structure are available, time periodic perturbations can provide tunability by adding time as an extra dimension enhanced to the problem. In this short review, we outline the recent research on topological insulators in non equilibrium situations. Firstly, we introduce briefly the Floquet formalism that allows to describe steady states of the electronic system with an effective time-independent Hamiltonian. Secondly, we summarize recent theoretical work on how light irradiation drives semi-metallic graphene or a trivial semiconducting system into a topological phase. Finally, we show how photons can be used to probe topological edge or surface states.

7 pages, 4 figures, comments are welcome

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Cited by in corpus (319)

• Topological Photonics
• Atomic quantum gases in periodically driven optical lattices
• Light-induced gauge fields for ultracold atoms
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Classical higher-order topological insulators
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Irradiated graphene as a tunable Floquet topological insulator
• Periodic Table for Floquet Topological Insulators
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Floquet chiral edge states in graphene
• Light-induced emergent phenomena in 2D materials and topological materials
• Theory of pump-probe photoemission in graphene: Ultrafast tuning of Floquet bands and local pseudospin textures
• Floquet generation of Majorana end modes and topological invariants
• Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
• Artificial gauge fields in materials and engineered systems
• Topology and Broken Symmetry in Floquet Systems
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Tailoring quantum gases by Floquet engineering
• Floquet topological transitions in a driven one-dimensional topological insulator
• Dynamical moments reveal a topological quantum transition in a photonic quantum walk
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Periodically-driven quantum matter: the case of resonant modulations
• Dynamical Singularities of Floquet Higher-Order Topological Insulators
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Integrable Trotterization: Local Conservation Laws and Boundary Driving
• Coupled-wire construction of static and Floquet second-order topological insulators
• Network Models of Photonic Floquet Topological Insulators
• Lightwave topology for strong-field valleytronics
• Numerical simulations of time resolved quantum electronics
• Abelian Floquet symmetry-protected topological phases in one dimension
• Introduction to Dirac materials and topological insulators
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Floquet dynamical quantum phase transitions
• Engineering Quantum Anomalous Hall Plateaus and Anti-Chiral States with AC Fields
• Unsupervised machine learning of topological phase transitions from experimental data
• Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk
• Nonlinearity induced topological physics in momentum space and real space
• Floquet topological phases in a spin-1/2 double kicked rotor
• Majorana edge modes in the Kitaev model
• Topological classification of quasi-periodically driven quantum systems
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Scattering matrix invariants of Floquet topological insulators
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Topological localization in out-of-equilibrium dissipative systems
• Scattering theory of topological phases in discrete-time quantum walks
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Engineering topological phases in the Luttinger semimetal $\alpha$-Sn
• Robustness of topologically protected edge states in quantum walk experiments with neutral atoms
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Parametric Instability Rates in Periodically-Driven Band Systems
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Time crystallinity in open quantum systems
• Non-perturbative laser effects on the electrical properties of graphene nanoribbons
• Floquet band structure of a semi-Dirac system
• Photoinduced pseudospin effects in silicene beyond the off resonant condition
• PT Symmetric Floquet Topological Phase
• Driven dissipative dynamics and topology of quantum impurity systems
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Dynamical and Reversible Control of Topological Spin Textures
• Floquet control of quantum dissipation in spin chains
• Effects of interactions on periodically driven dynamically localized systems
• Unified theory to characterize Floquet topological phases by quench dynamics
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Non-Hermitian Floquet Topological Matter -- A Review
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Nematic, topological and Berry phases when a flat and a parabolic band touch
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Interplay between spin-orbit interactions and a time-dependent electromagnetic field in monolayer graphene
• Magnetization signatures of light-induced quantum Hall edge states
• Floquet Topological Magnons
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Time-induced second-order topological superconductors
• Weyl nodes with higher-order topology in an optically driven nodal-line semimetal
• Symmetry and topological classification of Floquet non-Hermitian systems
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Loss-induced Floquet non-Hermitian skin effect
• Driven conductance of an irradiated semi-Dirac material
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Generating controllable type-II Weyl points via periodic driving
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Non-local topological electromagnetic phases of matter
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Optically reconfigurable quantum spin-valley Hall effect of light in coupled nonlinear ring resonator lattice
• Universal quantum criticality in static and Floquet-Majorana chains
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Theory of Driven Nonequilibrium Critical Phenomena
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Generating quantum multi-criticality in topological insulators by periodic driving
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Photoinduced Topological Phase Transitions in Topological Magnon Insulators
• Many-Body Echo
• Simulation of 1D topological phases in driven quantum dot arrays
• Floquet Valley-Polarized Quantum Anomalous Hall State in Nonmagnetic Heterobilayers
• Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
• Tunable Fragile Topology in Floquet Systems
• Gauge-induced Floquet topological states in photonic waveguides
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Quantum annealing and non-equilibrium dynamics of Floquet Chern insulators
• Controlling Exceptional Points with Light
• Floquet topological phase of nondriven $p$-wave nonequilibrium excitonic insulators
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Floquet Non-Abelian Topological Insulator and Multifold Bulk-Edge Correspondence
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Driven quantum many-body systems and out-of-equilibrium topology
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• Anomalous Floquet Chiral Topological Superconductivity in a Topological Insulator Sandwich Structure
• Phase Transition in the periodically pulsed Dicke Model
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Observation of Floquet topological phases with large Chern numbers
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Drive-induced many-body localization and coherent destruction of Stark many-body localization
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Topology and localization of a periodically driven Kitaev model
• Pure spin current and perfect valley filter by designed separation of the chiral states in two-dimensional honeycomb lattices
• Floquet dynamical quantum phase transitions in periodically quenched systems
• Two-component quantum Hall effects in topological flat bands
• Central Charge of Periodically Driven Critical Kitaev Chains
• Locality and Heating in Periodically Driven, Power-law Interacting Systems
• Optically induced topological superconductivity via Floquet interaction engineering
• Light-induced topological phases in thin films of magnetically doped topological insulators
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Fibonacci steady states in a driven integrable quantum system
• Disordered Chern insulator with a two step Floquet drive
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Light-induced anisotropic skyrmion and stripe phases in a Rashba ferromagnet
• Topological phase transitions at finite temperature
• Photo-induced tunable Anomalous Hall and Nernst effects in tilted Weyl Semimetals using Floquet theory
• Suppression of heating by long-range interactions in periodically driven spin chains
• Anomalous heat flow in 8-$Pmmn$ borophene with tilted Dirac cones
• Laser induced modulation of the Landau level structure in single-layer graphene
• Two-dimensional quantum walk with non-Hermitian skin effects
• Photoinduced interfacial chiral modes in threefold topological semimetal
• SU(N) fractional quantum Hall effects in topological flat bands
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction
• From Floquet to Dicke: quantum spin-Hall insulator interacting with quantum light
• Dissipative preparation of many-body Floquet Chern insulators
• Effects of local periodic driving on transport and generation of bound states
• Dual Topological Insulator Device with Disorder Robustness
• Stability of Periodically Driven Topological Phases against Disorder
• Laser control of magnonic topological phases in antiferromagnets
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• Edge mode manipulation through commensurate multifrequency driving
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Magnonic Floquet Quantum Spin Hall Insulator in Bilayer Collinear Antiferromagnets
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Quantum Control in Open and Periodically Driven Systems
• Topological pumping assisted by Bloch oscillations
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Optically tunable spin transport on the surface of a topological insulator
• Multiplicative topological phases
• Photo-modulation of the spin Hall conductivity of mono-layer transition metal dichalcogenides
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Floquet Weyl Magnons
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Photo-induced Entanglement in a Magnonic Floquet Topological Insulator
• Floquet High Chern Insulators in Periodically Driven Chirally Stacked Multilayer Graphene
• Ballistic transport through irradiated graphene
• Absence of Criticality in the Phase Transitions of Open Floquet Systems
• Light-modulated Josephson effect in Kekulé patterned graphene
• Effective vacua for Floquet topological phases: A numerical perspective on switch-function formalism
• Anomalous Floquet tunneling in uniaxially strained graphene
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Topological edge state engineering with high-frequency electromagnetic radiation
• Non-adiabatic effects in periodically driven-dissipative open quantum systems
• The Floquet Fermi Liquid
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Driven Andreev molecule
• Interacting topological frequency converter
• Entanglement spectrum and entropy in Floquet topological matter
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Exact results in Floquet coin toss for driven integrable models
• Photoinduced Floquet topological magnons in Kitaev magnets
• Magnonic Floquet Hofstadter Butterfly
• Floquet Heating in Interacting Atomic Gases with an Oscillating Force
• Floquet band engineering with Bloch oscillations
• Integrable Quantum Circuits from the Star-Triangle Relation
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Periodically and Quasi-periodically Driven Dynamics of Bose-Einstein Condensates
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Probing anomalous driving
• Floquet topological transition by unpolarized light
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Floquet engineering spin triplet states in unconventional magnets
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Self-adapted Floquet Dynamics of Ultracold Bosons in a Cavity
• Coherent destruction of tunneling in graphene irradiated by elliptically polarized lasers
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Electronic Floquet Liquid Crystals
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Quantum noise detects Floquet topological phases
• Floquet engineering of continuous-time quantum walks: towards the simulation of complex and next-to-nearest neighbor couplings
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Dynamical Fragile Topology in Floquet Crystals
• Topological properties of a periodically driven Creutz ladder
• Topological skyrmion phases of matter
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Driven Hofstadter Butterflies and Related Topological Invariants
• Floquet Majorana fermions in driven hexagonal lattice systems
• Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
• Photoinduced spin-Hall resonance in a k^3-Rashba spin-orbit coupled two dimensional hole system
• Tachyonic Dispersion in Coherent Networks
• Quantum mold casting for topological insulating and edge states
• Periodically driven interacting electrons in 1D: a many-body Floquet approach
• Anomalous levitation and annihilation in Floquet topological insulators
• Tunable interface states between Floquet-Weyl semimetals
• Three dimensional two-band Floquet topological insulator with $Z_2$ index
• Light-induced odd-parity altermagnets on dimerized lattices
• Gapless higher-order topology and corner states in Floquet systems
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Floquet Engineering of Multifold Fermions
• Topological Insulators with Hybrid-order Boundary States
• Spin texture of an irradiated warped topological insulator surface
• Effect of the external fields in high Chern number quantum anomalous Hall insulators
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Anatomy of a periodically driven p-wave superconductor
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Dynamical response of dissipative helical edge states
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Anomalous thermoelectric properties of a Floquet topological insulator with spin momentum non-orthogonality
• A topological classification of molecules and chemical reactions with a perplectic structure
• Trapping massless Dirac particles in a rotating saddle
• Quantum Hall effects of exciton condensate in topological flat bands
• Driven quantum tunneling and pair creation with graphene Landau levels
• Quantum Hall effect induced by electron-phonon interaction
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
• Spin-valley coupled thermoelectric energy converter with strained honeycomb lattices
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Holographic Floquet states in low dimensions (I)
• Impurity Screening and Friedel Oscillations in Floquet-driven Two-dimensional Metals
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
• Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Low-temperature thermal transport and thermopower of monolayer transition metal dichalcogenide semiconductors
• Thouless pumping in Josephson junction arrays
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
• The Future of the Correlated Electron Problem
• Inducing anisotropies in Dirac fermions by periodic driving
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Quantum transport phenomena induced by time-dependent fields
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Nonperturbative model for optical response under intense periodic fields with application to graphene in a strong perpendicular magnetic field
• Photoprotected spin Hall effect on graphene with substrate induced Rashba spin-orbit coupling
• Phase Transitions and Conductivties of Floquet Fluids
• Quadratic band touching with long range interactions in and out of equilibrium
• Periodic jumps in binary lattices with a static force
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Photoinduced metallic Volkov-Pankratov states in semi-Dirac material
• Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Photocurrent and photoconductance of an helical edge state
• Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Floquet Möbius topological insulators
• Floquet Analysis on an Irradiated Nodal Surface Semimetal with Non-Symmorphic Symmetry
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Nonresonant Casimir-Polder repulsion with a monolayer topological insulator
• The evaluation of non-topological components in Berry phase and momentum relaxation time in a gapped 3D topological insulator
• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• $2+1$ dimensional Floquet systems and lattice fermions: Exact bulk spectral equivalence
• Adiabatic modulation of driving protocols in periodically driven quantum systems
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Quantitative measure of topological protection in Floquet systems through the spectral localizer
• Spin-orbit effects on the spin and pseudospin polarization in ac-driven silicene
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• A thermodynamic probe of the topological phase transition in epitaxial graphene based Floquet topological insulator
• Exact-WKB Analysis of Two-level Floquet Systems
• Phase transition from Weyl to self-linked semimetal using bi-circular laser
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Phase Transition of Topological Index driven by Dephasing
• Phase transitions from Heating to non-heating in SU(1, 1) quantum dynamics: applications to Bose-Einstein condensates and periodically driven coupled oscillators
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Transport through Nodal Surface Semimetal-Superconductor junction in absence/presence of light irradiation
• Anomalous skew scattering of plasmons in a Dirac electron fluid
• Noise resilience of two-dimensional Floquet topological phases
• $q$th-root non-Hermitian Floquet topological insulators
• Topical review on acousto-optical Floquet engineering of single-photon emitters
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Floquet multiple exceptional points with higher-order skin effect
• Floquet second-order topological insulator in strained graphene
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Floquet quantum multiparameter estimation with periodic-driving-induced topological phase transition