Engineering Quantum Anomalous Hall Plateaus and Anti-Chiral States with AC Fields

Abstract

We investigate the AC electric field induced quantum anomalous Hall effect in honeycomb lattices and derive the full phase diagram for arbitrary field amplitude and phase polarization. We show how to induce anti-chiral edge modes as well as topological phases characterized by a Chern number larger than $1$ by means of suitable drivings. In particular, we find that the Chern number develops plateaus as a function of the frequency, providing an time-dependent analogue to the ones in the quantum Hall effect.

4 pages and supplementary material

References in corpus (14)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Ultrafast Optical Excitation of a Persistent Surface-State Population in the Topological Insulator Bi2Se3
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Floquet chiral edge states in graphene
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Floquet Fractional Chern Insulator in Doped Graphene
• Ultrafast surface carrier dynamics in the topological insulator Bi2Te3
• Radiation effects on the electronic structure of bilayer graphene
• Tight-binding couplings in microwave artificial graphene
• Driven Electronic States at the Surface of a Topological Insulator

Cited by in corpus (56)

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• Disorder-induced Floquet Topological Insulators
• Floquet topological transitions in a driven one-dimensional topological insulator
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Casimir Force Phase Transitions in the Graphene Family
• Floquet topological phases in a spin-1/2 double kicked rotor
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Floquet interface states in illuminated three-dimensional topological insulators
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Photoinduced quantum spin and valley Hall effects and orbital magnetization in monolayer MoS2
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Floquet band structure of a semi-Dirac system
• One-way transport in laser-illuminated bilayer graphene: A Floquet isolator
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Edge-state enhanced transport in a 2-dimensional quantum walk
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Universal fluctuations of Floquet topological invariants at low frequencies
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Floquet topological insulator phase in a Weyl semimetal thin film with disorder
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Off-resonant polarized light-controlled thermoelectric transport in ultrathin topological insulators
• Simulation of 1D topological phases in driven quantum dot arrays
• Tunable thermoelectricity in monolayers of MoS${}_2$ and other group-VI dichalcogenides
• Quantum annealing and non-equilibrium dynamics of Floquet Chern insulators
• Liquid-crystal-based topological photonics
• Floquet engineering of long-range p-wave superconductivity: Beyond the high-frequency limit
• Photo-induced tunable Anomalous Hall and Nernst effects in tilted Weyl Semimetals using Floquet theory
• Engineering Floquet topological phases using elliptically polarized light
• Quantum Hall effect in ac driven graphene: from half-integer to integer case
• Predicting Large-Chern-Number Phases in a Shaken Optical Dice Lattice
• Floquet High Chern Insulators in Periodically Driven Chirally Stacked Multilayer Graphene
• Floquet Weyl Magnons
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• Magnonic Floquet Hofstadter Butterfly
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Topological Floquet states on a Möbius band irradiated by circularly polarised light
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Transport signatures in topological systems coupled to AC fields
• Floquet engineering of Dirac cones on the surface of a topological insulator
• Edge states and phase diagram for graphene under polarized light
• Topologically trivial and nontrivial edge bands in graphene induced by irradiation
• Anomalous Floquet Phases. A resonance phenomena
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Floquet Majorana Fermions in superconducting quantum dots
• Anomalous thermoelectric properties of a Floquet topological insulator with spin momentum non-orthogonality
• Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Designing adiabatic time-evolution from high frequency bichromatic sources
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Photocurrent and photoconductance of an helical edge state
• Unconventional quantum Hall effect in Floquet topological insulators
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Crossover of spin Hall to quantum anomalous Hall effect in PbC/MnSe heterostructures
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems