Three-dimensional Chiral Lattice Fermion in Floquet Systems
arXiv:1806.09296 · doi:10.1103/PhysRevLett.121.196401
Abstract
We show that the Nielsen-Ninomiya no-go theorem still holds on Floquet lattice: there is an equal number of right-handed and left-handed Weyl points in 3D Floquet lattice. However, in the adiabatic limit, where the time evolution of low-energy subspace is decoupled from the high-energy subspace, we show that the bulk dynamics in the low-energy subspace can be described by Floquet bands with purely left/right-handed Weyl points, despite the no-go theorem. For the adiabatic evolution of two bands, we show that the difference of the number of right-handed and left-handed Weyl points equals twice the winding number of the Floquet operator of the low-energy subspace over the Brillouin zone, thus guaranteeing the number of Weyl points to be even. Based on this observation, we propose to realize purely left/right-handed Weyl points in the adiabatic limit using a Hamiltonian obtained through dimensional reduction of four-dimensional quantum Hall system. We address the breakdown of the adiabatic limit on the surface due to the presence of gapless boundary states. This effect induces a circular motion of a wave packet in an applied magnetic field, travelling alternatively in the low-energy and high-energy subspace of the system.
References in corpus (96)
- Topological insulators and superconductors
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Topological Field Theory of Time-Reversal Invariant Insulators
- Photonic Floquet Topological Insulators
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Experimental realisation of the topological Haldane model
- The Chiral Magnetic Effect
- Periodic table for topological insulators and superconductors
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Experimental discovery of Weyl semimetal TaAs
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
- Robust optical delay lines via topological protection
- Photovoltaic Hall effect in graphene
- Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
- Observation of Floquet-Bloch states on the surface of a topological insulator
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven optical lattices
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Observation of the chiral magnetic effect in ZrTe5
- Floquet Time Crystals
- Discovery of a Weyl Fermion semimetal state in NbAs
- Topological response in Weyl semimetals and the chiral anomaly
- On the phase structure of driven quantum systems
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Recent developments in transport phenomena in Weyl semimetals
- Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
- Exploring Topological Phases With Quantum Walks
- Observation of photonic anomalous Floquet Topological Insulators
- Long-time behavior of periodically driven isolated interacting lattice systems
- A Four Dimensional Generalization of the Quantum Hall Effect
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Electromagnetic Response of Weyl Semimetals
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Floquet-Bloch theory and topology in periodically driven lattices
- Dirac vs. Weyl in topological insulators: Adler-Bell-Jackiw anomaly in transport phenomena
- Fate of many-body localization under periodic driving
- Selective scattering between Floquet-Bloch and Volkov states in a topological insulator
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac materials
- Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
- Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
- Irradiated graphene as a tunable Floquet topological insulator
- Periodic Table for Floquet Topological Insulators
- Quantum simulation of an extra dimension
- Chiral gauge field and axial anomaly in a Weyl semi-metal
- Observation of Weyl nodes and Fermi arcs in TaP
- Topological Polaritons
- Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
- Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
- Photonic gauge potential in a system with a synthetic frequency dimension
- Disorder-induced Floquet Topological Insulators
- Floquet generation of Majorana end modes and topological invariants
- Multiterminal Conductance of a Floquet Topological Insulator
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
- The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
- Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
- Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
- Classification of Interacting Topological Floquet Phases in One Dimension
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- Merging of Dirac points and Floquet topological transitions in AC driven graphene
- Helicity protected ultrahigh mobility Weyl fermions in NbP
- When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals
- Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
- Topological index for periodically driven time-reversal invariant 2D systems
- Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
- Optical response of graphene under intense terahertz fields
- Floquet Topological States in Shaking Optical Lattices
- Periodically-driven quantum matter: the case of resonant modulations
- Floquet Weyl Semimetal Induced by Off-Resonant Light
- Plasmon mode as a detection of the chiral anomaly in Weyl semimetals
- Chiral Floquet Phases of Many-body Localized Bosons
- Network Models of Photonic Floquet Topological Insulators
- Measurement of a topological edge invariant in a microwave network
- Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs
- Type-II Weyl cone transitions in driven semimetals
- Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
- Tunable circular dichroism due to the chiral anomaly in Weyl semimetals
- Quantum oscillations from generic surface Fermi arcs and bulk chiral modes in Weyl semimetals
- Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
- Quantum Hall effect in a one-dimensional dynamical system
- Tunable point nodes from line node semimetals via application of light
- Four-dimensional photonic lattices and discrete tesseract solitons
- Floquet Semimetal with Floquet-band Holonomy
- Floquet Weyl Phases in a Three Dimensional Network Model
- Conversion rules for Weyl points and nodal lines in topological media
- Helical Floquet Channels in 1D Lattices
- Quantum Oscillations in Weyl and Dirac Semimetal Ultra-Thin Films
- Double Quantum Dot Floquet Gain Medium
- Helical Spin Order from Topological Dirac and Weyl Semimetals
- Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
- Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
- Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
Cited by in corpus (30)
- Light control with Weyl semimetals
- Geometric approach to fragile topology beyond symmetry indicators
- Exceptional Topological Insulators
- Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
- Circumventing the no-go theorem: A single Weyl point surrounded by nodal walls
- Higher rank chirality and non-Hermitian skin effect in a topolectrical circuit
- Wannier representation of Floquet topological states
- Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
- Floquet chiral magnetic effect
- Symmetry and topological classification of Floquet non-Hermitian systems
- Floquet higher-order Weyl and nexus semimetals
- Dissipative analog of four-dimensional quantum Hall physics
- Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
- Interacting topological frequency converter
- Alice string in Non-Hermitian Systems
- Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
- Gauging anomalous unitary operators
- Floquet simulators for topological surface states in isolation
- Emergent Chern-Simons Interactions in 3+1 Dimensions
- Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
- Four-dimensional Floquet topological insulator with an emergent second Chern number
- Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
- Helical Luttinger liquid on a space-time lattice
- Loss-induced universal one-way transport in periodically driven systems
- Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
- 3D Network Model for Strong Topological Insulator Transitions
- Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
- Anomaly-induced edge currents in hydrodynamics with parity anomaly
- Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
- Manifestation of chiral magnetic current in Floquet-Weyl semimetals