Floquet chiral magnetic effect

Abstract

A single Weyl fermion, which is prohibited in static lattice systems by the Nielsen-Ninomiya theorem, is shown to be realized in a periodically driven three-dimensional lattice system with a topologically nontrivial Floquet unitary operator, manifesting the chiral magnetic effect. We give a topological classification of Floquet unitary operators in the Altland-Zirnbauer symmetry classes for all dimensions, and use it to predict that all gapless surface states of topological insulators and superconductors can emerge in bulk quasienergy spectra in Floquet systems.

arXiv comment14 pages, 4 figures

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Cited by in corpus (39)

• Non-Hermitian Physics
• Floquet Topological Phases of Non-Hermitian Systems
• Exceptional Topological Insulators
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Wannier representation of Floquet topological states
• Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
• Floquet topological phase transitions in a periodically quenched dimer
• Symmetry and topological classification of Floquet non-Hermitian systems
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Classification of Matrix-Product Unitaries with Symmetries
• Floquet higher-order Weyl and nexus semimetals
• Chiral torsional effect with finite temperature, density and curvature
• Fermionic quantum cellular automata and generalized matrix product unitaries
• Floquet engineering of electric polarization with two-frequency drive
• Floquet and Anomalous Floquet Weyl Semimetals
• Interacting topological frequency converter
• Topological Quantum Walk with Discrete Time-Glide Symmetry
• Quantum Hall criticality in Floquet topological insulators
• Alice string in Non-Hermitian Systems
• Topological terms of (2+1)d flag-manifold sigma models
• 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
• Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
• Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Topology of Discrete Quantum Feedback Control
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• 3D Network Model for Strong Topological Insulator Transitions
• Classification of unitary operators by local generatability
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Anomaly-induced edge currents in hydrodynamics with parity anomaly
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• Floquet dynamics of disordered bands with isolated critical energies
• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems
• Manifestation of chiral magnetic current in Floquet-Weyl semimetals