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.
Topology and Broken Symmetry in Floquet Systems
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abstract
Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, they can exhibit a variety of nontrivial behavior---some of it impossible in undriven systems. In this review we describe the main ideas and themes of this work: novel Floquet drives which exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.
fields
cond-mat.mes-hall 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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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.