Orbital magnetization of Floquet topological systems

Abstract

A general expression for the orbital magnetization of a Floquet system is derived. The expression holds for a clean system, and is valid for any driving protocol, and arbitrary occupation of the bands. The orbital magnetization is shown to be large not only for Chern insulators, but also for anomalous phases where the Chern number does not fully account for the topology. In addition, the orbital magnetization is shown to take significant values both for a thermal equilibrium occupation of the Floquet bands, and for occupations determined by a quantum quench from an initial state with zero orbital magnetization. For the latter case, the orbital magnetization is shown to be highly sensitive to van Hove singularities of the Floquet bands.

References in corpus (53)

• The electronic properties of graphene
• Experimental realisation of the topological Haldane model
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Atomic quantum gases in periodically driven optical lattices
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Floquet Engineering of Quantum Materials
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Discrete time crystals: rigidity, criticality, and realizations
• Moiré heterostructures as a condensed matter quantum simulator
• Nonthermal pathways to ultrafast control in quantum materials
• Orbital magnetization in periodic insulators
• Periodic Table for Floquet Topological Insulators
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Pre-thermal phases of matter protected by time-translation symmetry
• 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
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Topology and Broken Symmetry in Floquet Systems
• Effective Theory of Floquet Topological Transitions
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• 1D Many-body localized Floquet systems II: Symmetry-Broken phases
• Dissipative Floquet Topological Systems
• Topological index for periodically driven time-reversal invariant 2D systems
• Chiral Floquet Phases of Many-body Localized Bosons
• Giant Orbital Magneto-electric effect and Current-driven Magnetization Switching in Twisted Bilayer Graphene
• Abelian Floquet symmetry-protected topological phases in one dimension
• Floquet topological phases protected by time glide symmetry
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Floquet topological phases with symmetry in all dimensions
• Topological Floquet Engineering of Twisted Bilayer Graphene
• Interacting invariants for Floquet phases of fermions in two dimensions
• Steady states and edge state transport in topological Floquet-Bloch systems
• Dynamically enriched topological orders in driven two-dimensional systems
• Quantized magnetization density in periodically driven systems
• Optical Hall conductivity of a Floquet Topological Insulator
• Interaction stabilized steady states in the driven O(N) model
• Floquet Quantum Criticality
• Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator
• Classification of Matrix-Product Unitaries with Symmetries
• Chiral 1D Floquet topological insulators beyond rotating wave approximation
• Critical properties of the prethermal Floquet Time Crystal
• Floquet topological systems in the vicinity of band crossings: Reservoir induced coherence and steady-state entropy production
• Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Effective response theory for Floquet topological systems
• Entanglement properties of Floquet Chern insulators

Cited by in corpus (5)

• Topological frequency conversion in Weyl semimetals
• Semiclassical dynamics of electrons in space-time crystal: Magnetization, polarization, and current response
• Optical conductivity and orbital magnetization of Floquet vortex states
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization