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Quantized Magnetization Density in Periodically Driven Systems

Nathan, Frederik and Rudner, Mark S. and Lindner, Netanel H. and Berg, Erez and Refael, Gil (2017) Quantized Magnetization Density in Periodically Driven Systems. Physical Review Letters, 119 (18). Art. No. 186801. ISSN 0031-9007. doi:10.1103/PhysRevLett.119.186801.

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We study micromotion in two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We show that this micromotion gives rise to a quantized time-averaged orbital magnetization density in any region completely filled with fermions. The quantization of magnetization density has a topological origin, and reveals the physical nature of the new phase identified in P. Titum, E. Berg, M. S. Rudner, G. Refael, and N. H. Lindner [Phys. Rev. X 6, 021013 (2016)]. We thus establish that the topological index of this phase can be accessed directly in bulk measurements, and propose an experimental protocol to do so using interferometry in cold-atom-based realizations.

Item Type:Article
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URLURL TypeDescription Paper
Rudner, Mark S.0000-0002-5150-6234
Lindner, Netanel H.0000-0003-1879-3902
Additional Information:© 2017 American Physical Society. Received 19 November 2016; published 31 October 2017. M. R. gratefully acknowledges the Villum Foundation, the Danish National Research Foundation, and the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under Research Executive Agency (REA) Grant agreement No. PIIF-GA-2013-627838 for support. N. L. and E. B. acknowledge financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 639172). N. L. acknowledges support from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (No. FP7/2007-2013) under REA Grant Agreement No. 631696, and from the Israeli Center of Research Excellence (I-CORE) “Circle of Light.” G. R. is grateful for support from the National Science Foundation (NSF) through Grant No. DMR-1410435, the Institute of Quantum Information and Matter, a National Science Foundation Frontier Center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation, and further thanks the Aspen Center for Physics for their hospitality.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Villum FoundationUNSPECIFIED
Danish National Research FoundationUNSPECIFIED
Marie Curie FellowshipPIIF-GA-2013-627838
European Research Council (ERC)639172
Marie Curie Fellowship631696
Israeli Center of Research ExcellenceUNSPECIFIED
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Issue or Number:18
Record Number:CaltechAUTHORS:20171101-122220832
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:82835
Deposited By: Tony Diaz
Deposited On:01 Nov 2017 19:36
Last Modified:15 Nov 2021 19:53

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