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Quantized transport and steady states of Floquet topological insulators

Esin, Ilya and Rudner, Mark S. and Refael, Gil and Lindner, Netanel H. (2018) Quantized transport and steady states of Floquet topological insulators. Physical Review B, 97 (24). Art. No. 245401. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20180606-094237198

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Abstract

Robust electronic edge or surface modes play key roles in the fascinating quantized responses exhibited by topological materials. Even in trivial materials, topological bands and edge states can be induced dynamically by a time-periodic drive. Such Floquet topological insulators (FTIs) inherently exist out of equilibrium; the extent to which they can host quantized transport, which depends on the steady-state population of their dynamically induced edge states, remains a crucial question. In this work, we obtain the steady states of two-dimensional FTIs in the presence of the natural dissipation mechanisms present in solid state systems. We give conditions under which the steady-state distribution resembles that of a topological insulator in the Floquet basis. In this state, the distribution in the Floquet edge modes exhibits a sharp feature akin to a Fermi level, while the bulk hosts a small density of excitations. We determine the regimes where topological edge-state transport persists and can be observed in FTIs.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.97.245401DOIArticle
http://arxiv.org/abs/1710.09404arXivDiscussion Paper
ORCID:
AuthorORCID
Rudner, Mark S.0000-0002-5150-6234
Lindner, Netanel H.0000-0003-1879-3902
Alternate Title:Steady states and edge state transport in topological Floquet-Bloch systems
Additional Information:© 2018 American Physical Society. (Received 11 January 2018; published 6 June 2018) We thank Vladimir Kalnizky, Barak Katzir, Gali Matsman, and Ari Turner for illuminating discussions, and David Cohen for technical support. N.L. acknowledges support from the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 639172), from the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007–2013), under REA Grant Agreement No. 631696, and from the Israeli Center of Research Excellence (I-CORE) “Circle of Light” funded by the Israel Science Foundation (Grant No. 1802/12). M.R. gratefully acknowledges the support of the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 678862), and the Villum Foundation. G.R. acknowledges support from the U. S. Army Research Office under Grant No. W911NF-16-1-0361, and from the IQIM, an NSF frontier center funded in part by the Betty and Gordon Moore Foundation. We also thank the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611 where part of the work was done.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
European Research Council (ERC)639172
Marie Curie Fellowship631696
Israel Science Foundation1802/12
European Research Council (ERC)678862
Villum FoundationUNSPECIFIED
Army Research Office (ARO)W911NF-16-1-0361
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Betty and Gordon Moore FoundationUNSPECIFIED
NSFPHY-1607611
Record Number:CaltechAUTHORS:20180606-094237198
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180606-094237198
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86829
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jun 2018 17:09
Last Modified:20 May 2019 17:34

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