Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators

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Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators. / Nathan, Frederik; Abanin, Dmitry A.; Lindner, Netanel H.; Berg, Erez; Rudner, Mark S.

I: SciPost Physics, Bind 10, Nr. 6, 128, 03.06.2021.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nathan, F, Abanin, DA, Lindner, NH, Berg, E & Rudner, MS 2021, 'Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators', SciPost Physics, bind 10, nr. 6, 128. https://doi.org/10.21468/SCIPOSTPHYS.10.6.128

APA

Nathan, F., Abanin, D. A., Lindner, N. H., Berg, E., & Rudner, M. S. (2021). Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators. SciPost Physics, 10(6), [128]. https://doi.org/10.21468/SCIPOSTPHYS.10.6.128

Vancouver

Nathan F, Abanin DA, Lindner NH, Berg E, Rudner MS. Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators. SciPost Physics. 2021 jun. 3;10(6). 128. https://doi.org/10.21468/SCIPOSTPHYS.10.6.128

Author

Nathan, Frederik ; Abanin, Dmitry A. ; Lindner, Netanel H. ; Berg, Erez ; Rudner, Mark S. / Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators. I: SciPost Physics. 2021 ; Bind 10, Nr. 6.

Bibtex

@article{f220533242674aeea9fc1340faef83b0,
title = "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.",
author = "Frederik Nathan and Abanin, {Dmitry A.} and Lindner, {Netanel H.} and Erez Berg and Rudner, {Mark S.}",
note = "Publisher Copyright: Copyright F. Nathan et al.",
year = "2021",
month = jun,
day = "3",
doi = "10.21468/SCIPOSTPHYS.10.6.128",
language = "English",
volume = "10",
journal = "SciPost Physics",
issn = "2542-4653",
publisher = "SCIPOST FOUNDATION",
number = "6",

}

RIS

TY - JOUR

T1 - Hierarchy of many-body invariants and quantized magnetization in anomalous Floquet insulators

AU - Nathan, Frederik

AU - Abanin, Dmitry A.

AU - Lindner, Netanel H.

AU - Berg, Erez

AU - Rudner, Mark S.

N1 - Publisher Copyright: Copyright F. Nathan et al.

PY - 2021/6/3

Y1 - 2021/6/3

N2 - 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.

AB - 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.

U2 - 10.21468/SCIPOSTPHYS.10.6.128

DO - 10.21468/SCIPOSTPHYS.10.6.128

M3 - Journal article

AN - SCOPUS:85108608208

VL - 10

JO - SciPost Physics

JF - SciPost Physics

SN - 2542-4653

IS - 6

M1 - 128

ER -

ID: 273589765