A review of Floquet topological insulators, covering drive-engineered band topology, anomalous edge states with trivial bulk Chern numbers, and the prethermal, MBL, and bath-engineering routes to stable driven phases.
Chiral 1D Floquet topological insulators beyond rotating wave approximation
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abstract
We study one-dimensional (1D) Floquet topological insulators with chiral symmetry going beyond the standard rotating wave approximation. The occurrence of many anticrossings between Floquet replicas leads to a dramatic extension of phase diagram regions with stable topological edge states (TESs). We present an explicit construction of all TESs in terms of a truncated Floquet Hamiltonian in frequency space, prove the bulk-boundary correspondence, and analyze the stability of the TESs in terms of their localization lengths. We propose experimental tests of our predictions in curved bilayer graphene.
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cond-mat.mes-hall 1years
2019 1verdicts
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Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
A review of Floquet topological insulators, covering drive-engineered band topology, anomalous edge states with trivial bulk Chern numbers, and the prethermal, MBL, and bath-engineering routes to stable driven phases.