Floquet Semimetal with Floquet-band Holonomy

Abstract

Exotic topological states of matter such as Floquet topological insulator or Floquet Weyl semimetal can be induced by periodic driving. This work proposes a Floquet semimetal with Floquet-band holonomy. That is, the system is gapless, but as a periodic parameter viewed as quasimomentum of a synthetic dimension completes an adiabatic cycle, each Floquet band as a whole exchanges with other Floquet bands. The dynamical manifestations of such Floquet-band holonomy are studied. Under open boundary conditions, we discover anomalous chiral edge modes localized only at one edge, winding around the entire quasienergy Brillouin zone, well separated from bulk states, and possessing holonomy different from bulk states. These remarkable properties are further exploited to realize quantized or half-quantized edge state pumping.

arXiv comment6 pages, 5 figures

References in corpus (56)

• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Imaging topological edge states in silicon photonics
• 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 chiral edge states with neutral fermions in synthetic Hall ribbons
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Synthetic gauge fields in synthetic dimensions
• Exploring Topological Phases With Quantum Walks
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Irradiated graphene as a tunable Floquet topological insulator
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Quantum simulation of an extra dimension
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Disorder-induced Floquet Topological Insulators
• Multiterminal Conductance of a Floquet Topological Insulator
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Topological orbital ladders
• Generating Many Majorana Modes via Periodic Driving: A Superconductor Model
• Modulated Floquet Topological Insulators
• Topological index for periodically driven time-reversal invariant 2D systems
• Floquet Weyl Semimetal Induced by Off-Resonant Light
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Measurement of a topological edge invariant in a microwave network
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Geometrical pumping with a Bose-Einstein condensate
• Quantized Adiabatic Transport in Momentum Space
• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Topological Effects in Chiral Symmetric Driven Systems
• Towards large-Chern-number topological phases by periodic quenching
• Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
• Floquet topological semimetal phases of an extended kicked Harper model
• Photon Inhibited Topological Transport in Quantum Well Heterostructures
• Floquet Weyl Phases in a Three Dimensional Network Model
• Optical detection of fractional particle number in an atomic Fermi-Dirac gas
• Statistical transmutation in Floquet driven optical lattices
• Manipulating atoms in an optical lattice: Fractional fermion number and its optical quantum measurement
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Quasienergy anholonomy and its application to adiabatic quantum state manipulation
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• New anatomy of quantum holonomy
• Cheon's anholonomies in Floquet operators
• Band Husimi Distributions and the Classical-Quantum Correspondence on the Torus
• A Unified Theory of Quantum Holonomies
• Exotic quantum holonomy and higher-order exceptional points in quantum kicked tops

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• An anomalous higher-order topological insulator
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
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• Recipe for creating an arbitrary number of Floquet chiral edge states
• Engineering topological phases in the Luttinger semimetal $\alpha$-Sn
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Non-Hermitian Floquet Topological Matter -- A Review
• Three-dimensional Chiral Lattice Fermion in Floquet Systems
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Generating quantum multi-criticality in topological insulators by periodic driving
• Floquet engineering of magnetic topological insulator MnBi${}_2$Te${}_4$ films
• Topological swing in Bloch oscillations
• Topological properties of Floquet winding bands in a photonic lattice
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Floquet higher-order Weyl and nexus semimetals
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Anomalous Floquet topological crystalline insulators
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Floquet band engineering with Bloch oscillations
• Chaotic diffusion of complex trajectory and its quantum signature
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Topological chiral interface states beyond insulators
• Gapless higher-order topology and corner states in Floquet systems
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Topological reflection matrix
• Floquet non-Abelian topological charges and edge states
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
• Floquet Möbius topological insulators
• Generating nonequilibrium stationary state from ground state condensate through an almost-adiabatic cycle
• Floquet composite Dirac semimetals
• Adiabatic modulation of driving protocols in periodically driven quantum systems
• Topological adiabatic dynamics in classical mass-spring chains with clamps