Effective Theory of Floquet Topological Transitions

Abstract

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static system, i.e. metallic bulk transport with conductivity of order $e^2/h$, is substantially suppressed at some Floquet topological transitions in the clean system. We determine the conditions for this suppression analytically and confirm our results in numerical simulations. Remarkably, introducing disorder dramatically enhances this transport by several orders of magnitude.

arXiv comment4+epsilon pages, 4 figures, supplemental material

References in corpus (32)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Electronic transport in two dimensional graphene
• Photonic Floquet Topological Insulators
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• 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
• Colloquium: The transport properties of graphene: An introduction
• Quantum-limited shot noise in graphene
• Driven quantum transport on the nanoscale
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Floquet-Bloch theory and topology in periodically driven lattices
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Irradiated graphene as a tunable Floquet topological insulator
• Floquet chiral edge states in graphene
• Floquet Fractional Chern Insulator in Doped Graphene
• Tuning laser-induced bandgaps in graphene
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Optically engineering the topological properties of a spin Hall insulator
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• A Green-function approach to transport phenomena in quantum pumps
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Floquet spin states in graphene under ac driven spin-orbit interaction
• Current oscillations in a metallic ring threaded by a time-dependent magnetic flux
• Plasma excitations of dressed Dirac electrons in graphene layers
• Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance

Cited by in corpus (139)

• Atomic quantum gases in periodically driven optical lattices
• 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
• Theory of pump-probe photoemission in graphene: Ultrafast tuning of Floquet bands and local pseudospin textures
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Floquet topological transitions in a driven one-dimensional topological insulator
• Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Higher-order Floquet topological phases with corner and bulk bound states
• Occupation of topological Floquet bands in open systems
• Floquet-Engineered Valleytronics in Dirac Systems
• Towards large-Chern-number topological phases by periodic quenching
• Generating a second-order topological insulator with multiple corner states by periodic driving
• Anomalous Floquet Insulators
• Photonic Floquet media with a complex time-periodic permittivity
• Topological classification of quasi-periodically driven quantum systems
• Floquet interface states in illuminated three-dimensional topological insulators
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Steady states and edge state transport in topological Floquet-Bloch systems
• Quantized magnetization density in periodically driven systems
• Optical Hall conductivity of a Floquet Topological Insulator
• Floquet band structure of a semi-Dirac system
• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Edge State Transport in Floquet Topological Insulators
• Wannier representation of Floquet topological states
• Anomalous and normal dislocation modes in Floquet topological insulators
• Magnetization signatures of light-induced quantum Hall edge states
• Universal fluctuations of Floquet topological invariants at low frequencies
• Driving protocol for a Floquet topological phase without static counterpart
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Floquet topological phase transitions in a periodically quenched dimer
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Quantum Charge Pumps with Topological Phases in Creutz Ladder
• Floquet Weyl fermions in circularly-polarised-light-irradiated three-dimensional stacked graphene systems
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• How to Directly Measure Floquet Topological Invariants in Optical Lattices
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Engineering Floquet Dynamical Quantum Phase Transition
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Spin-Valley Polarized Quantum Anomalous Hall Effect and a Valley-Controlled Half Metal in Bilayer Graphene
• Quantized large-bias current in the anomalous Floquet-Anderson insulator
• Quantum annealing and non-equilibrium dynamics of Floquet Chern insulators
• Probing Topological signatures in an optically driven $\alpha$-$T_3$ Lattice
• A Floquet perturbation theory for periodically driven weakly-interacting fermions
• Topology and localization of a periodically driven Kitaev model
• Engineering exotic second-order topological semimetals by periodic driving
• Strongly Disordered Floquet Topological Systems
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Periodically driven Rydberg chains with staggered detuning
• Out-of-Time-Order correlators in driven conformal field theories
• Dirac cones, Floquet side bands and theory of time resolved ARPES
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Engineering Floquet topological phases using elliptically polarized light
• Floquet bound states around defects and adatoms in graphene
• Cavity Induced Topology in Graphene
• Quantum Hall effect in ac driven graphene: from half-integer to integer case
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Quantum Control in Open and Periodically Driven Systems
• Spectroscopic probes of isolated nonequilibrium quantum matter: Quantum quenches, Floquet states, and distribution functions
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Dynamical Transition for a class of integrable models coupled to a bath
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Ballistic transport through irradiated graphene
• Floquet Spectrum and Two-Terminal Conductance of a Transition Metal Dichalcogenide Ribbon under a Circularly Polarized Laser Field
• Floquet topological phases coupled to environments and the induced photocurrent
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Topological edge state engineering with high-frequency electromagnetic radiation
• Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions
• Floquet Topological Semimetal with Nodal Helix
• Impact of high-frequency pumping on anomalous finite-size effects in three-dimensional topological insulators
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Floquet topological transition by unpolarized light
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Dynamics and Control of Edge States in Laser-driven Graphene Nanoribbons
• Quantum noise detects Floquet topological phases
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Entanglement properties of Floquet Chern insulators
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Edge states and phase diagram for graphene under polarized light
• Anomalous levitation and annihilation in Floquet topological insulators
• Tunable interface states between Floquet-Weyl semimetals
• Valley-controlled transport in graphene/ WSe${}_2$ heterostructures under an off-resonant polarized light
• Disorder-induced topology in quench dynamics
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Non-local control of spin-spin correlation in finite geometry helical edge
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• A Passage to Topological Matter: Colloquium
• Chiral Luttinger liquids in graphene tuned by irradiation
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Transport through vertical graphene contacts under intense laser fields
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Transport properties of vertical heterostructures under light irradiation
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Nonperturbative model for optical response under intense periodic fields with application to graphene in a strong perpendicular magnetic field
• Topological Floquet Flat Bands in Irradiated Alternating Twist Multilayer Graphene
• Optical conductivity of a topological system driven using a realistic pulse
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Spin-dependent Andreev reflection in spin-orbit coupled systems by breaking time-reversal symmetry
• Breakdown of boundary criticality and exotic topological semimetals in $\mathcal{P}\mathcal{T}$-invariant systems
• Floquet Möbius topological insulators
• Topological quantum control: Edge currents via Floquet depinning of skyrmions in the $\nu =0$ graphene quantum Hall antiferromagnet
• 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
• Time-resolved ARPES and optical transport properties of irradiated twisted bilayer graphene in steady-state
• Floquet composite Dirac semimetals
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Low-frequency and Moiré Floquet engineering: a review
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• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
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• Orbital magnetization of Floquet topological systems
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems
• Quantum dynamics of a spin model with an extensive degeneracy
• Noise resilience of two-dimensional Floquet topological phases
• Emergent long-range interaction and state-selective localization in a strongly driven $XXZ$ model
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice