Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators
Abstract
We uncover a new family of few-body topological phases in periodically driven fermionic systems in two dimensions. These phases, which we term correlation-induced anomalous Floquet insulators (CIAFIs), are characterized by quantized contributions to the bulk magnetization from multi-particle correlations, and are classified by a family of integer-valued topological invariants. The CIAFI phases do not require many-body localization, but arise in the generic situation of k-particle localization, where the system is localized (due to disorder) for any finite number of particles up to a maximum number, k. We moreover show that, when fully many-body localized, periodically driven systems of interacting fermions in two dimensions are characterized by a quantized magnetization in the bulk, thus confirming the quantization of magnetization of the anomalous Floquet insulator. We demonstrate our results with numerical simulations.
Keywords
Cite
@article{arxiv.1907.12228,
title = {Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators},
author = {Frederik Nathan and Dmitry A. Abanin and Netanel H. Lindner and Erez Berg and Mark S. Rudner},
journal= {arXiv preprint arXiv:1907.12228},
year = {2021}
}