Bandwidth-resonant Floquet states in honeycomb optical lattices

Abstract

We investigate, within Floquet theory, topological phases in the out-of-equilibrium system that consists of fermions in a circularly shaken honeycomb optical lattice. We concentrate on the intermediate regime, in which the shaking frequency is of the same order of magnitude as the band width, such that adjacent Floquet bands start to overlap, creating a hierarchy of band inversions. It is shown that two-phonon resonances provide a topological phase that can be described within the Bernevig-Hughes-Zhang model of HgTe quantum wells. This allows for an understanding of out-of-equilibrium topological phases in terms of simple band inversions, similar to equilibrium systems.

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Cited by in corpus (13)

• Atomic quantum gases in periodically driven optical lattices
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Atomtronics-enabled Quantum Technologies
• Floquet Weyl fermions in circularly-polarised-light-irradiated three-dimensional stacked graphene systems
• Genesis of the Floquet Hofstadter butterfly
• Ballistic transport through irradiated graphene
• Many-body dynamics and gap opening in interacting periodically driven systems
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Resonances in a periodically driven bosonic system
• Edge states and phase diagram for graphene under polarized light
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Photon-mediated electronic correlation effects in irradiated two-dimensional Dirac systems