Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
arXiv:2202.00160 · doi:10.1103/PhysRevB.105.245136
Abstract
Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the Chern number is zero and yet chiral edge modes exist. Analytic expressions for the edge modes, Berry curvature, and the orbital magnetization are derived for the flat bands. Results are also presented for the static Haldane model for parameters when the bands are flat. Floquet driving of the same model is shown to give rise to Chern insulators as well as anomalous Floquet phases. The orbital magnetization for these different topological phases are presented and are found to be enhanced at half filling by the broken particle-hole symmetry of the Haldane model.
arXiv comment13 pages, 6 figures, improved presentation in the revised Manuscript
References in corpus (55)
- The electronic properties of graphene
- Experimental realisation of the topological Haldane model
- 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
- Fractional quantum Hall states at zero magnetic field
- 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
- Light-induced anomalous Hall effect in graphene
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Discrete time crystals: rigidity, criticality, and realizations
- 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
- 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
- Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
- 1D Many-body localized Floquet systems II: Symmetry-Broken phases
- Dissipative Floquet Topological Systems
- Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
- Topological index for periodically driven time-reversal invariant 2D systems
- Chiral Floquet Phases of Many-body Localized Bosons
- Abelian Floquet symmetry-protected topological phases in one dimension
- Occupation of topological Floquet bands in open systems
- 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
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Topological Floquet Engineering of Twisted Bilayer Graphene
- Interacting invariants for Floquet phases of fermions in two dimensions
- Effective Floquet-Gibbs states for dissipative quantum systems
- Experimental evidence for orbital magnetic moments generated by moiré-scale current loops in twisted bilayer graphene
- Dynamically enriched topological orders in driven two-dimensional systems
- Quantized magnetization density in periodically driven systems
- Interaction stabilized steady states in the driven O(N) model
- Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
- 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
- Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
- Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction
- Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
- Effective response theory for Floquet topological systems
- Critical properties of the Floquet time crystal within the Gaussian approximation
- Orbital magnetization of Floquet topological systems