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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. http://resolver.caltech.edu/CaltechAUTHORS:20120105-152654410

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Abstract

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1073/pnas.1110813108 DOIUNSPECIFIED
http://www.pnas.org/content/108/50/19925PublisherUNSPECIFIED
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, IQIM
Funders:
Funding AgencyGrant Number
Gordon and Betty Moore FoundationUNSPECIFIED
NSFPHY-0803371
Israel Rothschild FoundationUNSPECIFIED
Weizmann Institute of Science Swiss Society of Friends UNSPECIFIED
NSFPHY05-51164
Subject Keywords:vortex dynamics; two-dimensional superfluids; Berry's phase; Bose-Hubbard model; Chern numbers
Record Number:CaltechAUTHORS:20120105-152654410
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120105-152654410
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28683
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Jan 2012 17:03
Last Modified:28 Feb 2014 22:44

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