Modulated Floquet Topological Insulators

Abstract

Floquet topological insulators are topological phases of matter generated by the application of time-periodic perturbations on otherwise conventional insulators. We demonstrate that spatial variations in the time-periodic potential lead to localized quasi-stationary states in two-dimensional systems. These states include one-dimensional interface modes at the nodes of the external potential, and fractionalized excitations at vortices of the external potential. We also propose a setup by which light can induce currents in these systems. We explain these results by showing a close analogy to px+ipy superconductors.

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Cited by in corpus (124)

• Colloquium: Topological Band Theory
• Irradiated graphene as a tunable Floquet topological insulator
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Topological singularities and the general classification of Floquet-Bloch systems
• Light-induced emergent phenomena in 2D materials and topological materials
• Floquet generation of Majorana end modes and topological invariants
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Pseudospin-selective Floquet band engineering in black phosphorus
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Dissipative Floquet Topological Systems
• Floquet topological transitions in a driven one-dimensional topological insulator
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Observation of Light Guiding by Artificial Gauge Fields
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Floquet analysis of excitations in materials
• Topological Effects in Chiral Symmetric Driven Systems
• Topological metasurface: From passive toward active and beyond
• Towards large-Chern-number topological phases by periodic quenching
• Generating a second-order topological insulator with multiple corner states by periodic driving
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Anomalous Floquet Insulators
• Photonic Floquet media with a complex time-periodic permittivity
• Photoinduced Chern insulating states in semi-Dirac materials
• Shift charge and spin photocurrents in Dirac surface states of topological insulator
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Majorana edge modes in the Kitaev model
• Floquet interface states in illuminated three-dimensional topological insulators
• Topological classification of quasi-periodically driven quantum systems
• Steady states and edge state transport in topological Floquet-Bloch systems
• Quantized magnetization density in periodically driven systems
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Optical Hall conductivity of a Floquet Topological Insulator
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Dynamical synchronization transition in interacting electron systems
• Floquet Semimetal with Floquet-band Holonomy
• Floquet band structure of a semi-Dirac system
• Floquet engineering of black phosphorus upon below-gap pumping
• Effects of interactions on periodically driven dynamically localized systems
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Floquet edge states in a harmonically driven integer quantum Hall system
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Universal chiral quasi-steady states in periodically driven many-body systems
• Statistical transmutation in Floquet driven optical lattices
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Sensing Floquet-Majorana fermions via heat transfer
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Simulation of 1D topological phases in driven quantum dot arrays
• Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
• Quantized large-bias current in the anomalous Floquet-Anderson insulator
• Gauge-induced Floquet topological states in photonic waveguides
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Computing a logarithm of a unitary matrix with general spectrum
• Evolution of Floquet Topological Quantum States in Driven Semiconductors
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Topology and localization of a periodically driven Kitaev model
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Disordered Chern insulator with a two step Floquet drive
• Generation and Manipulation of Localized Modes in Floquet Topological Insulators
• Effects of local periodic driving on transport and generation of bound states
• Engineering Floquet topological phases using elliptically polarized light
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Optical pumping of electronic quantum Hall states with vortex light
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Behavior of Floquet Topological Quantum States in Optically Driven Semiconductors
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Floquet metal to insulator phase transitions in semiconductor nanowires
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Topological edge state engineering with high-frequency electromagnetic radiation
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Optical imprinting of superlattices in two-dimensional materials
• Topological Floquet states on a Möbius band irradiated by circularly polarised light
• Floquet topological transition by unpolarized light
• Phase transitions in intrinsic magnetic topological insulator with high-frequency pumping
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Floquet Majorana fermions in driven hexagonal lattice systems
• Anomalous levitation and annihilation in Floquet topological insulators
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Floquet vortex states induced by light carrying the orbital angular momentum
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Manipulating Z2 and Chern topological phases in a single material using periodically driving fields
• From prethermalization to chaos in periodically driven coupled rotors
• Anatomy of a periodically driven p-wave superconductor
• Quantum gates by periodic driving
• Quantum state engineering by periodical two-step modulation in atomic system
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Topological excitations at time vortices in periodically driven systems
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Signature of edge states in resonant wave scattering
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Time-dependent potential impurity in topological insulator
• Optical conductivity of a topological system driven using a realistic pulse
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Temporal Parity-Time Symmetry for Extreme Energy Transformations
• Optical conductivity and orbital magnetization of Floquet vortex states
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Nonequilibrium electron distribution function in a voltage-biased nanowire: A nonequilibrium Green's function approach
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Non-Hermitian second-order topological insulator with point gap
• Noise resilience of two-dimensional Floquet topological phases
• Time-reversal invariant resonant backscattering on a topological insulator surface driven by a time-periodic gate voltage
• Floquet engineering with spatially non-uniform driving fields