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Topological transitions for lattice bosons in a magnetic field

Huber, Sebastian D. and Lindner, Netanel H. (2011) Topological transitions for lattice bosons in a magnetic field. Proceedings of the National Academy of Sciences of the United States of America, 108 (50). pp. 19925-19930. ISSN 0027-8424. PMCID PMC3250117. doi:10.1073/pnas.1110813108.

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The Hall response provides an important characterization of strongly correlated phases of matter. We study the Hall conductivity of interacting bosons on a lattice subjected to a magnetic field. We show that for any density or interaction strength, the Hall conductivity is characterized by an integer. We find that the phase diagram is intersected by topological transitions between different values of this integer. These transitions lead to surprising effects, including sign reversal of the Hall conductivity and extensive regions in the phase diagram where it acquires a negative sign, which implies that flux flow is reversed in these regions—vortices there flow upstream. Our findings have immediate applications to a wide range of phenomena in condensed matter physics, which are effectively described in terms of lattice bosons.

Item Type:Article
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URLURL TypeDescription DOIArticle CentralArticle
Huber, Sebastian D.0000-0003-3558-351X
Lindner, Netanel H.0000-0003-1879-3902
Additional Information:© 2011 by The National Academy of Sciences. Edited by Allan H. MacDonald, University of Texas at Austin, Austin, TX, and approved September 12, 2011 (received for review July 7, 2011). Published online before print November 22, 2011. We thank Assa Auerbach, Ehud Altman, Joseph Avron, Hans-Peter Büchler, Olexi Motrunich, Ian Spielman, and Ady Stern for fruitful discussions. Special thanks to Daniel Podolsky for his enlightening comments. N.H.L. acknowledges support by The Gordon and Betty Moore Foundation through Caltech’s Center for the Physics of Information, National Science Foundation Grant PHY-0803371, and the Israel Rothschild Foundation. S.D.H. acknowledges support by the Swiss Society of Friends of the Weizmann Institute of Science. This research was supported in part by the National Science Foundation under Grant PHY05-51164. Author contributions: S.D.H. and N.H.L. designed research, performed research, and wrote the paper.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
Israel Rothschild FoundationUNSPECIFIED
Weizmann Institute of Science Swiss Society of FriendsUNSPECIFIED
Subject Keywords:vortex dynamics; two-dimensional superfluids; Berry's phase; Bose-Hubbard model; Chern numbers
Issue or Number:50
PubMed Central ID:PMC3250117
Record Number:CaltechAUTHORS:20120105-152654410
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28683
Deposited By: Tony Diaz
Deposited On:06 Jan 2012 17:03
Last Modified:09 Nov 2021 16:59

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