Titum, Paraj and Berg, Erez and Rudner, Mark S. and Refael, Gil and Lindner, Netanel H. (2016) Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump. Physical Review X, 6 (2). Art. No. 021013. ISSN 2160-3308. doi:10.1103/PhysRevX.6.021013. https://resolver.caltech.edu/CaltechAUTHORS:20150824-133019180
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Abstract
We show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator (AFAI). The AFAI is characterized by a quasienergy spectrum featuring chiral edge modes coexisting with a fully localized bulk. Such a spectrum is impossible for a time-independent, local Hamiltonian. These unique characteristics of the AFAI give rise to a new topologically protected nonequilibrium transport phenomenon: quantized, yet nonadiabatic, charge pumping. We identify the topological invariants that distinguish the AFAI from a trivial, fully localized phase, and show that the two phases are separated by a phase transition.
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| Alternate Title: | The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump | ||||||||||||||||||||||||||||
| Additional Information: | © 2016 The Author(s). Published by the American Physical Society. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. (Received 5 August 2015; published 6 May 2016). We are grateful to Cosma Fulga, Mykola Maksimenko, and Ady Stern for enlightening discussions. P. T. and N. H. L. acknowledge support from the U.S.-Israel Bi-National Science foundation. N. H. L. acknowledges support from I-Core, the Israeli excellence center Circle of Light and from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA Grant Agreement No. 631696. N. H. 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). E. B. was supported by the Minerva foundation, the CIG Marie Curie grant, and the Israel Science foundation. M. S. R. acknowledges support from the Villum Foundation and from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA Grant Agreement No. PIIF-GA-2013-627838. G. R. and P. T. are grateful for support from NSF through DMR-1410435, as well as the Institute of Quantum Information and Matter, a NSF Frontier center funded by the Gordon and Betty Moore Foundation, and the Packard Foundation. | ||||||||||||||||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||||||
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| Issue or Number: | 2 | ||||||||||||||||||||||||||||
| DOI: | 10.1103/PhysRevX.6.021013 | ||||||||||||||||||||||||||||
| Record Number: | CaltechAUTHORS:20150824-133019180 | ||||||||||||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150824-133019180 | ||||||||||||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||||
| ID Code: | 59854 | ||||||||||||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||||||||||||||||
| Deposited On: | 24 Aug 2015 22:56 | ||||||||||||||||||||||||||||
| Last Modified: | 10 Nov 2021 22:26 |
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