Irradiated graphene as a tunable Floquet topological insulator

Abstract

In the presence of a circularly polarized mid-infrared radiation graphene develops dynamical band gaps in its quasi-energy band structure and becomes a Floquet insulator. Here we analyze how topologically protected edge states arise inside these gaps in the presence of an edge. Our results show that the gap appearing at $\hslash \Omega /2$, where $\hslash \Omega$ is the photon energy, is bridged by two chiral edge states whose propagation direction is set by the direction of the polarization of the radiation field. Therefore, both the propagation direction and the energy window where the states appear can be controlled externally. We present both analytical and numerical calculations that fully characterize these states. This is complemented by simple topological arguments that account for them and by numerical calculations for the case of semi-infinite sample, thereby eliminating finite size effects.

arXiv comment12 pages, 8 figures. Revised version, submitted to PRB

References in corpus (47)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Graphene Photonics and Optoelectronics
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Photonic Floquet Topological Insulators
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Driven quantum transport on the nanoscale
• Photo-excitation Cascade and Multiple Carrier Generation in Graphene
• Photon-assisted transport in semiconductor nanostructures
• Floquet topological insulators
• Floquet scattering theory of quantum pumps
• Floquet-Bloch theory and topology in periodically driven lattices
• Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
• High frequency electric field induced nonlinear effects in graphene (review)
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Floquet chiral edge states in graphene
• Tuning laser-induced bandgaps in graphene
• Metal-insulator transition in graphene induced by circularly polarized photons
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Terahertz Science and Technology of Carbon Nanomaterials
• Optically engineering the topological properties of a spin Hall insulator
• Modulated Floquet Topological Insulators
• Optical response of graphene under intense terahertz fields
• Effect of radiation on transport in graphene
• Terahertz radiation driven chiral edge currents in graphene
• Radiation effects on the electronic structure of bilayer graphene
• Current Noise in ac-Driven Nanoscale Conductors
• Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
• Massless Dirac fermions in a laser field as a counterpart of graphene superlattices
• Majorana edge modes in the Kitaev model
• Unpaired Floquet Majorana fermions without magnetic fields
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Non-perturbative laser effects on the electrical properties of graphene nanoribbons
• Anomalous Photon-Assisted Tunneling in Graphene
• Strongly anisotropic Dirac quasiparticles in irradiated graphene
• Interplay between spin-orbit interactions and a time-dependent electromagnetic field in monolayer graphene
• Laser-induced effects on the electronic features of graphene nanoribbons
• Dirac fermion time-Floquet crystal: manipulating Dirac points
• Generation and Manipulation of Localized Modes in Floquet Topological Insulators

Cited by in corpus (244)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• Light-induced anomalous Hall effect in graphene
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Nonthermal pathways to ultrafast control in quantum materials
• Light-induced emergent phenomena in 2D materials and topological materials
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Multiterminal Conductance of a Floquet Topological Insulator
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Effective Theory of Floquet Topological Transitions
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Floquet topological transitions in a driven one-dimensional topological insulator
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
• Perspective on topological states of non-Hermitian lattices
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
• Electronic and optical properties of graphene nanoribbons in external fields
• Interaction dependent heating and atom loss in a periodically driven optical lattice
• Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
• All-optical band engineering of gapped Dirac materials
• Control of electronic transport in graphene by electromagnetic dressing
• Peculiar electronic states, symmetries and Berry phases in irradiated $\alpha$-$T_3$ materials
• Floquet analysis of excitations in materials
• Towards large-Chern-number topological phases by periodic quenching
• Topological Floquet Engineering of Twisted Bilayer Graphene
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• Anomalous Floquet Insulators
• Shift charge and spin photocurrents in Dirac surface states of topological insulator
• Observation of Floquet states in graphene
• Floquet interface states in illuminated three-dimensional topological insulators
• Scattering matrix invariants of Floquet topological insulators
• Probing light-driven quantum materials with ultrafast resonant inelastic X-ray scattering
• Higher Order Topological Insulator via Periodic Driving
• Steady states and edge state transport in topological Floquet-Bloch systems
• Optically induced flat bands in twisted bilayer graphene
• Circular photon drag effect in bulk tellurium
• Floquet analysis of a quantum system with modulated periodic driving
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Floquet dynamics in light-driven solids
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Floquet Semimetal with Floquet-band Holonomy
• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Edge State Transport in Floquet Topological Insulators
• Effects of interactions on periodically driven dynamically localized systems
• Unified theory to characterize Floquet topological phases by quench dynamics
• Metal-Insulator transition in 8-Pmmn Borophene under perpendicular incidence of electromagnetic radiation
• A flow equation approach to periodically driven quantum systems
• Wannier representation of Floquet topological states
• Quantum-statistical theory for laser-tuned transport and optical conductivities of dressed electrons in $α-\mc{T}_3$ materials
• Magnetoelectronic properties of graphene dressed by a high-frequency field
• Floquet Engineering of Nonequilibrium Valley-Polarized Quantum Anomalous Hall Effect with Tunable Chern Number
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Effective Floquet Hamiltonian in the low-frequency regime
• Magnetization signatures of light-induced quantum Hall edge states
• Magnetic properties of a two-dimensional electron gas strongly coupled to light
• Floquet topological phase transitions in a periodically quenched dimer
• Universal chiral quasi-steady states in periodically driven many-body systems
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide
• Weyl nodes with higher-order topology in an optically driven nodal-line semimetal
• Optically induced Lifshitz transition in bilayer graphene
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Quantum ring with the Rashba spin-orbit interaction in the regime of strong light-matter coupling
• Limits of topological protection under local periodic driving
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
• Resonance fluorescence from an asymmetric quantum dot dressed by a bichromatic electromagnetic field
• Simulation of 1D topological phases in driven quantum dot arrays
• Floquet Valley-Polarized Quantum Anomalous Hall State in Nonmagnetic Heterobilayers
• Tunable Fragile Topology in Floquet Systems
• Edge and bulk localization of Floquet topological superconductors
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Controlling Exceptional Points with Light
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Exploring the Optical States for Black Phosphorus: Anisotropy and Bandgap Tuning
• Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
• Berryogenesis: self-induced Berry flux and spontaneous non-equilibrium magnetism
• The Floquet Engineer's Handbook
• Floquet oscillations in periodically driven Dirac systems
• Valley-selective Floquet Chern Flat Bands in Twisted Multilayer Graphene
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Disordered Chern insulator with a two step Floquet drive
• Chiral 1D Floquet topological insulators beyond rotating wave approximation
• Photo-Induced Anomalous Hall Effect in Two-Dimensional Transition-Metal Dichalcogenides
• Generation of higher-order topological insulators using periodic driving
• Edge mode dynamics of quenched topological wires
• Engineering Dirac states in graphene: Coexisting type-I and type-II Floquet-Dirac fermions
• Floquet engineering of excitons in semiconductor quantum dots
• Anomalous heat flow in 8-$Pmmn$ borophene with tilted Dirac cones
• Datta-and-Das spin transistor controlled by a high-frequency electromagnetic field
• Dirac cones, Floquet side bands and theory of time resolved ARPES
• Detecting light-induced Floquet band gaps of graphene via trARPES
• Effects of local periodic driving on transport and generation of bound states
• Dirac quantum time mirror
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Cavity Induced Topology in Graphene
• Laser control of magnonic topological phases in antiferromagnets
• Floquet bound states around defects and adatoms in graphene
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Fano Resonance in the Nonadiabatically Pumped Shot Noise of a Time-Dependent Quantum Well in 2DEG and Graphene
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Optically tunable spin transport on the surface of a topological insulator
• Optically induced topological states on the surface of mercury telluride
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry
• Floquet Quantum Spin Hall Insulator in Cold Atomic Systems
• Many-body dynamics and gap opening in interacting periodically driven systems
• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Photo-induced Entanglement in a Magnonic Floquet Topological Insulator
• Ballistic transport through irradiated graphene
• Floquet engineering of the Luttinger Hamiltonian
• Floquet and Anomalous Floquet Weyl Semimetals
• Anomalous Floquet tunneling in uniaxially strained graphene
• Prethermalization and entanglement dynamics in interacting topological pumps
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Topological edge state engineering with high-frequency electromagnetic radiation
• Floquet theory of spin dynamics under circularly polarized light pulses
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Magnetoelectronic and optical properties of nonuniform graphene nanoribbons
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Optical imprinting of superlattices in two-dimensional materials
• Observing photo-induced chiral edge states of graphene nanoribbons in pump-probe spectroscopies
• Method for finding the exact effective Hamiltonian of time driven quantum systems
• Topological Floquet states on a Möbius band irradiated by circularly polarised light
• Efficient computation of the $W_3$ topological invariant and application to Floquet-Bloch systems
• Transport, shot noise, and topology in AC-driven dimer arrays
• Observation of Floquet-induced gap in graphene
• Two-dimensional electron gas in the regime of strong light-matter coupling: Dynamical conductivity and all-optical measurements of Rashba and Dresselhaus coupling
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Electronic Floquet Liquid Crystals
• Coherent destruction of tunneling in graphene irradiated by elliptically polarized lasers
• Quantum Hall edge states under periodic driving: a Floquet induced chirality switch
• Time evolution of Majorana corner modes in Floquet second-order topological superconductor
• Floquet-engineered light-cone spreading of correlations in a driven quantum chain
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Large Landau level splitting with tunable one-dimensional graphene superlattice probed by magneto capacitance measurements
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Landau quantization in buckled monolayer GaAs
• Photo-electrons unveil topological transitions in graphene-like systems
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• Topologically trivial and nontrivial edge bands in graphene induced by irradiation
• Edge states and phase diagram for graphene under polarized light
• Non-Abelian geometric phases in periodically driven systems
• Driven Hofstadter Butterflies and Related Topological Invariants
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Optically induced persistent current in carbon nanotubes
• Optically induced Kondo effect in semiconductor quantum wells
• Periodically driven interacting electrons in 1D: a many-body Floquet approach
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Floquet spectrum and electronic transitions of tilted anisotropic Dirac materials under electromagnetic radiation: monodromy matrix approach
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Light-induced odd-parity altermagnets on dimerized lattices
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Non-local control of spin-spin correlation in finite geometry helical edge
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Effect of the external fields in high Chern number quantum anomalous Hall insulators
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• Optical Control of Slow Topological Electrons in Moiré Systems
• Photoinduced electronic and spin properties of two-dimensional electron gases with Rashba spin-orbit coupling under perpendicular magnetic fields
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Local and energy-resolved topological invariants for Floquet systems
• Floquet states of Valley-Polarized Metal with One-way Spin or Charge Transport in Zigzag Nanoribbons
• Andreev tunnelling and Josephson current in light irradiated graphene
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Optically induced resonant tunneling of electrons in nanostructures
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Tunneling in an anisotropic cubic Dirac semi-metal
• Floquet Graphene Antidot Lattices
• Chiral Luttinger liquids in graphene tuned by irradiation
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• 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
• Predicted novel type of photoinduced topological phase transition accompanied by collision and collapse of Dirac-cone pair in organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Impurity Screening and Friedel Oscillations in Floquet-driven Two-dimensional Metals
• Transport through vertical graphene contacts under intense laser fields
• Inducing anisotropies in Dirac fermions by periodic driving
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Transport properties of vertical heterostructures under light irradiation
• Fano resonance via bonding and antibonding states in nonadiabatically-pumped double-quantum-well systems
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• All-optical control of excitons in semiconductor quantum wells
• Optically Induced Topological Phase Transition in two dimensional Square Lattice Antiferromagnet
• Floquet boundary states in AB-stacked graphite
• Quantum transport phenomena induced by time-dependent fields
• Photoprotected spin Hall effect on graphene with substrate induced Rashba spin-orbit coupling
• Time-dependent potential impurity in topological insulator
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Light-induced switch based on edge modes in irradiated thin topological insulators
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Photocurrent and photoconductance of an helical edge state
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Photo-induced Multiply Quantized Vortex States in Dirac-like Materials
• Multiple Floquet Chern insulator phases in the spin-charge coupled triangular-lattice ferrimagnet: Crucial role of higher-order terms in the high-frequency expansion
• Proposal for realizing anomalous Floquet insulators via Chern band annihilation
• Low-frequency and Moiré Floquet engineering: a review
• Frequency dependence of the light-induced Hall effect in dissipative graphene
• Survival of current in a periodically driven hard-core bosonic system
• Laser-induced topological phases in monolayer amorphous carbon
• Optical trapping of electrons in graphene
• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors
• Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Charge waves and dynamical signatures of topological phases in Su-Schrieffer-Heeger chains
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Dirac materials under linear polarized light: quantum wave function evolution and topological Berry phases as classical charged particles trajectories under electromagnetic fields
• Optically induced delocalization of electrons bound by attractive potentials
• Floquet first- and higher-order topological superconductors: A review
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Spin and valley filter based on two-dimensional WSe${}_2$ heterostructures
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Floquet second-order topological insulator in strained graphene
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses