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.

12 pages, 8 figures. Revised version, submitted to PRB

References in corpus (16)

• The electronic properties of graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• 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
• Tuning laser-induced bandgaps in graphene
• Modulated Floquet Topological Insulators
• Optical response of graphene under intense terahertz fields
• Effect of radiation on transport in graphene
• Radiation effects on the electronic structure of bilayer graphene
• 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
• Laser-induced effects on the electronic features of graphene nanoribbons

Cited by in corpus (101)

• Light-induced emergent phenomena in 2D materials and topological materials
• Multiterminal Conductance of a Floquet Topological Insulator
• Effective Theory of Floquet Topological Transitions
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• 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
• Floquet topological phase transition in $\alpha$-${\mathcal{T}}_3$ lattice
• 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
• Floquet analysis of a quantum system with modulated periodic driving
• Floquet Semimetal with Floquet-band Holonomy
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Effects of interactions on periodically driven dynamically localized systems
• Floquet Engineering of Nonequilibrium Valley-Polarized Quantum Anomalous Hall Effect with Tunable Chern Number
• Effective Floquet Hamiltonian in the low-frequency regime
• Magnetization signatures of light-induced quantum Hall edge states
• Floquet topological phase transitions in a periodically quenched dimer
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Optically induced Lifshitz transition in bilayer graphene
• 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
• 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
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Disordered Chern insulator with a two step Floquet drive
• Generation of higher-order topological insulators using periodic driving
• Engineering Dirac states in graphene: Coexisting type-I and type-II Floquet-Dirac fermions
• Floquet engineering of excitons in semiconductor quantum dots
• Effects of local periodic driving on transport and generation of bound states
• Laser control of magnonic topological phases in antiferromagnets
• Cavity Induced Topology in Graphene
• Light-induced bound electron states in two-dimensional systems: Contribution to electron transport
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Optically induced topological states on the surface of mercury telluride
• Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry
• Ballistic transport through irradiated graphene
• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Floquet theory of spin dynamics under circularly polarized light pulses
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Observation of Floquet-induced gap in graphene
• Topological Floquet states on a Möbius band irradiated by circularly polarised light
• Transport, shot noise, and topology in AC-driven dimer arrays
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• 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
• Photo-electrons unveil topological transitions in graphene-like systems
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Floquet spectrum and electronic transitions of tilted anisotropic Dirac materials under electromagnetic radiation: monodromy matrix approach
• Light-induced odd-parity altermagnets on dimerized lattices
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Effect of the external fields in high Chern number quantum anomalous Hall insulators
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence
• Optical Control of Slow Topological Electrons in Moiré Systems
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Local and energy-resolved topological invariants for Floquet systems
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Optically induced resonant tunneling of electrons in nanostructures
• Transport through vertical graphene contacts under intense laser fields
• 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${}_3$
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Transport properties of vertical heterostructures under light irradiation
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• All-optical control of excitons in semiconductor quantum wells
• Quantum transport phenomena induced by time-dependent fields
• Floquet boundary states in AB-stacked graphite
• Light-induced switch based on edge modes in irradiated thin topological insulators
• Optically Controlled Topological Phases in the Deformed $\alpha -T_3$ Lattice
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Multiple Floquet Chern insulator phases in the spin-charge coupled triangular-lattice ferrimagnet: Crucial role of higher-order terms in the high-frequency expansion
• Photo-induced Multiply Quantized Vortex States in Dirac-like Materials
• Optical trapping of electrons in graphene
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Low-frequency and Moiré Floquet engineering: a review
• Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
• Laser-induced topological phases in monolayer amorphous carbon
• Photo-induced Non-collinear Interlayer RKKY Coupling in Bulk Rashba Semiconductors
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Charge waves and dynamical signatures of topological phases in Su-Schrieffer-Heeger chains
• Floquet second-order topological insulator in strained graphene
• Optically induced delocalization of electrons bound by attractive potentials
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Spin and valley filter based on two-dimensional WSe${}_2$ heterostructures
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Coherent-scatterer enhancement and Klein-tunneling suppression by potential barriers in gapped graphene with chirality-time-reversal symmetry