Recipe for creating an arbitrary number of Floquet chiral edge states

Abstract

Floquet states of periodically driven systems could exhibit rich topological properties. Many of them are absent in their static counterparts. One such example is the chiral edge states in anomalous Floquet topological insulators, whose description requires a new topological invariant and a novel type of bulk-edge correspondence. In this work, we propose a prototypical quenched lattice model, whose two Floquet bands could exchange their Chern numbers periodically and alternatively via touching at quasienergies 0 and $\pi$ under the change of a single system parameter. This process in principle allows the generation of as many Floquet chiral edge states as possible in a highly controllable manner. The quantized transmission of these edge states are extracted from the Floquet scattering matrix of the system. The flexibility in controlling the number of topological edge channels provided by our scheme could serve as a starting point for the engineering of robust Floquet transport devices.

10 pages, 11 figures, reference added

References in corpus (20)

• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Disorder-induced Floquet Topological Insulators
• Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Measurement of a topological edge invariant in a microwave network
• Quantized Adiabatic Transport in Momentum Space
• Floquet Edge States with Ultracold Atoms
• Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
• Floquet Semimetal with Floquet-band Holonomy
• 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
• Planck's quantum-driven integer quantum Hall effect in chaos
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Localization counteracts decoherence in noisy Floquet topological chains
• High-Chern-number bands and tunable Dirac cones in $\beta$-graphyne

Cited by in corpus (52)

• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Coupled-wire construction of static and Floquet second-order topological insulators
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Floquet Topological Phases of Non-Hermitian Systems
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Hybrid skin-topological modes without asymmetric couplings
• Generating a second-order topological insulator with multiple corner states by periodic driving
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian Floquet Topological Matter -- A Review
• Anomalous and normal dislocation modes in Floquet topological insulators
• Floquet engineering to exotic topological phases in systems of cold atoms
• Time-induced second-order topological superconductors
• Square-root Floquet topological phases and time crystals
• Symmetry Analysis of Anomalous Floquet Topological Phases
• 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
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Engineering Floquet topological phases using elliptically polarized light
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Counter-propagating edge states in Floquet topological insulating phases
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Topological pumping assisted by Bloch oscillations
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Anomalous Floquet topological crystalline insulators
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Floquet band engineering with Bloch oscillations
• Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
• Entanglement spectrum and entropy in Floquet topological matter
• Topological Floquet interface states in optical fibre loops
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Unsupervised identification of Floquet topological phase boundaries
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Topologically protected boundary discrete time crystal for a solvable model
• Floquet states of Valley-Polarized Metal with One-way Spin or Charge Transport in Zigzag Nanoribbons
• Topological charges of periodically kicked molecules
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Floquet engineering of edge states in the presence of staggered potential and interactions
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Floquet Möbius topological insulators
• Localized Floquet states in gated bilayer graphene induced by a focused optical beam with orbital angular momentum
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Quantum-vacuum-protected topological edge polaritons
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Bulk-edge coulping induced by a moving impurity
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• $q$th-root non-Hermitian Floquet topological insulators