A computational study of two-terminal transport of Floquet quantum Hall insulators

Abstract

Periodic driving fields can induce topological phase transitions, resulting in Floquet topological phases with intriguing properties such as very large Chern numbers and unusual edge states. Whether such Floquet topological phases could generate robust edge state conductance much larger than their static counterparts is an interesting question. In this paper, working under the Keldysh formalism, we study two-lead transport via the edge states of irradiated quantum Hall insulators using the method of recursive Floquet-Green's functions. Focusing on a harmonically-driven Hofstadter model, we show that quantized Hall conductance as large as $8e^2/h$ can be realized, but only after applying the so-called Floquet sum rule. To assess the robustness of edge state transport, we analyze the DC conductance, time-averaged current profile and local density of states. It is found that co-propagating chiral edge modes are more robust against disorder and defects as compared with the remarkable counter-propagating edge modes, as well as certain symmetry-restricted Floquet edge modes. Furthermore, we go beyond the wide-band limit, which is often assumed for the leads, to study how the conductance quantization (after applying the Floquet sum rule) of Floquet edge states can be affected if the leads have finite bandwidths. These results may be useful for the design of transport devices based on Floquet topological matter.

arXiv comment31 pages, 16 figures, published PRB version

References in corpus (67)

• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Observation of Floquet-Bloch states on the surface of a topological insulator
• The quantum spin Hall effect and topological insulators
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Nonequilibrium dynamical mean-field theory and its applications
• Driven quantum transport on the nanoscale
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Floquet Topological Insulators for Sound
• Quantum thermal transport in nanostructures
• Observation of photonic anomalous Floquet Topological Insulators
• Photon-assisted transport in semiconductor nanostructures
• Floquet topological insulators
• Floquet scattering theory of quantum pumps
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Floquet-Bloch theory and topology in periodically driven lattices
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Periodic Table for Floquet Topological Insulators
• Time-Dependent Partition-Free Approach in Resonant Tunneling Systems
• Topological Phases of Sound and Light
• Disorder-induced Floquet Topological Insulators
• Multiterminal Conductance of a Floquet Topological Insulator
• The recursive Green's function method for graphene
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Charging Effects in Ultrasmall Quantum Dots in the Presence of Time-Varying Fields
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Effective Theory of Floquet Topological Transitions
• Nonequilibrium Green's function method for quantum thermal transport
• Conductance calculations for quantum wires and interfaces: mode matching and Green functions
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
• Dictionary between scattering matrix and Keldysh formalisms for quantum transport driven by time-periodic fields
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• A knitting algorithm for calculating Green functions in quantum systems
• Measurement of a topological edge invariant in a microwave network
• A Green-function approach to transport phenomena in quantum pumps
• Quantized Adiabatic Transport in Momentum Space
• Abelian Floquet symmetry-protected topological phases in one dimension
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Towards large-Chern-number topological phases by periodic quenching
• Topological Effects in Chiral Symmetric Driven Systems
• Engineering Quantum Anomalous Hall Plateaus and Anti-Chiral States with AC Fields
• Floquet topological semimetal phases of an extended kicked Harper model
• Scattering matrix invariants of Floquet topological insulators
• Optical Hall conductivity of a Floquet Topological Insulator
• Floquet Semimetal with Floquet-band Holonomy
• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• Edge State Transport in Floquet Topological Insulators
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Floquet edge states in a harmonically driven integer quantum Hall system
• Generating controllable type-II Weyl points via periodic driving
• Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
• Time-dependent resonant tunneling transport: Keldysh and Kadanoff-Baym nonequilibrium Green's functions in an analytically soluble problem
• The driven Harper model
• Switchable topological phonon channels
• Floquet Formalism of Quantum Pumps
• Probing (topological) Floquet states through DC transport
• Transport signatures in topological systems coupled to AC fields

Cited by in corpus (23)

• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Floquet topological phases in a spin-1/2 double kicked rotor
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Dual topological characterization of non-Hermitian Floquet phases
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• Floquet engineering of magnetic topological insulator MnBi${}_2$Te${}_4$ films
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Observation of Floquet topological phases with large Chern numbers
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Counter-propagating edge states in Floquet topological insulating phases
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Photoinduced Quantum Anomalous Hall States in the Topological Anderson Insulator
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
• Floquet driven frictional effects
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Low-frequency and Moiré Floquet engineering: a review
• Instantaneous Emission Rate of Electron Transport through a quantum point contact