Effective response theory for Floquet topological systems
Open Access
- 8 February 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Research
- Vol. 3 (1), 013117
- https://doi.org/10.1103/physrevresearch.3.013117
Abstract
We present an effective field theory approach to the topological response of Floquet systems with symmetry group . This is achieved by introducing a background gauge field in the Schwinger-Keldysh formalism, which is suitable for far from equilibrium systems. We carry out this program for chiral topological Floquet systems (anomalous Floquet-Anderson insulators) in two spatial dimensions and the group cohomology models of topological Floquet unitaries. These response actions serve as many-body topological invariants for topological Floquet unitaries. The effective action approach also leads us to propose topological response functions that were not considered before. For a particular family of models, we find that our response theory captures a symmetry protected version of the chiral unitary index.
Funding Information
- National Science Foundation (DMR 1455296)
- Simons Foundation
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