Quantized Magnetization Density in Periodically Driven Systems
Abstract
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.
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.Attached Files
Published - PhysRevLett.119.186801.pdf
Submitted - 1610.03590.pdf
Supplemental Material - SupplementaryMaterial_Resub170829.pdf
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Additional details
- Eprint ID
- 82835
- Resolver ID
- CaltechAUTHORS:20171101-122220832
- Villum Foundation
- Danish National Research Foundation
- Marie Curie Fellowship
- PIIF-GA-2013-627838
- European Research Council (ERC)
- 639172
- Marie Curie Fellowship
- 631696
- Israeli Center of Research Excellence
- NSF
- DMR-1410435
- Institute of Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- David and Lucile Packard Foundation
- Created
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2017-11-01Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter