Chiral 1D Floquet topological insulators beyond rotating wave approximation

Abstract

We study one-dimensional (1D) Floquet topological insulators with chiral symmetry going beyond the standard rotating wave approximation. The occurrence of many anticrossings between Floquet replicas leads to a dramatic extension of phase diagram regions with stable topological edge states (TESs). We present an explicit construction of all TESs in terms of a truncated Floquet Hamiltonian in frequency space, prove the bulk-boundary correspondence, and analyze the stability of the TESs in terms of their localization lengths. We propose experimental tests of our predictions in curved bilayer graphene.

arXiv comment4+9 pages

References in corpus (46)

• Topological Photonics
• Photonic Floquet Topological Insulators
• Helical liquids and Majorana bound states in quantum wires
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Experimental realisation of the topological Haldane model
• 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
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Observation of topologically protected bound states in a one dimensional photonic system
• Valley-selective optical Stark effect in monolayer WS2
• Exploring Topological Phases With Quantum Walks
• Observation of photonic anomalous Floquet Topological Insulators
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Floquet-Bloch theory and topology in periodically driven lattices
• Irradiated graphene as a tunable Floquet topological insulator
• Periodic Table for Floquet Topological Insulators
• Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
• Topological singularities and the general classification of Floquet-Bloch systems
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Tuning laser-induced bandgaps in graphene
• Floquet generation of Majorana end modes and topological invariants
• Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Optically engineering the topological properties of a spin Hall insulator
• Tunable Spin-Orbit Coupling via Strong Driving in Ultracold Atom Systems
• Topological index for periodically driven time-reversal invariant 2D systems
• Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Radiation effects on the electronic structure of bilayer graphene
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Floquet topological phases with symmetry in all dimensions
• Complex classes of periodically driven topological lattice systems
• Unpaired Floquet Majorana fermions without magnetic fields
• Majorana edge modes in the Kitaev model
• Floquet interface states in illuminated three-dimensional topological insulators
• Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
• Scattering matrix invariants of Floquet topological insulators
• Helical States in Curved Bilayer Graphene
• Driving protocol for a Floquet topological phase without static counterpart
• Universal fluctuations of Floquet topological invariants at low frequencies
• Topological invariants for Floquet-Bloch systems with chiral, time-reversal, or particle-hole symmetry

Cited by in corpus (22)

• Nonthermal pathways to ultrafast control in quantum materials
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Floquet engineering topological many-body localized systems
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• The Floquet Engineer's Handbook
• Surface charge theorem and topological constraints for edge states: An analytical study of one-dimensional nearest-neighbor tight-binding models
• Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Magnetically-Confined Bound States in Rashba Systems
• Inducing exceptional points, enhancing plasmon quality and creating correlated plasmon states with modulated Floquet parametric driving
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Transport signatures of a Floquet topological transition at the helical edge
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Light controlled THz plasmonic time varying media: momentum gaps, entangled plasmon pairs, and pulse induced time reversal
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Orbital magnetization of Floquet topological systems
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene
• Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects