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Lattice realization of a bosonic integer quantum Hall state–trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model

Geraedts, Scott and Motrunich, Olexei I. (2017) Lattice realization of a bosonic integer quantum Hall state–trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model. Physical Review B, 96 (11). Art. No. 115137. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20170920-104241961

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Abstract

We provide an explicit lattice model of bosons with two separately conserved boson species [U(1)×U(1) global symmetry] realizing a direct transition between an integer quantum Hall effect of bosons and a trivial phase, where any intermediate phase is avoided by an additional symmetry interchanging the two species. If the latter symmetry is absent, we find intermediate superfluid phases where one or the other boson species condenses. We know the precise location of the transition since at this point our model has an exact nonlocal antiunitary particle-hole-like symmetry that resembles particle-hole symmetry in the lowest Landau level of electrons. We exactly map the direct transition to our earlier study of the self-dual line of the easy-plane NCCP1 model, in the mathematically equivalent reformulation in terms of two (new) particles with π statistics and identical energetics. While the transition in our model is first order, we hope that our mappings and recent renewed interest in such self-dual models will stimulate more searches for models with a continuous transition.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.96.115137DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.115137PublisherArticle
https://arxiv.org/abs/1705.06308arXivDiscussion Paper
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2017 American Physical Society. Received 22 May 2017; published 20 September 2017. We thank J. Y. Lee for previous collaboration on studies of phases and phase transitions involving bosonic SET phases. O.I.M. thanks D. Mross and J. Alicea for recent collaborations and enlightening discussions of the fermionic and bosonic dualities. S.D.G. is supported by Department of Energy BES Grant No. DE-SC0002140. O.I.M. is supported by National Science Foundation through Grant No. DMR-1619696 and also by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center, with support of the Gordon and Betty Moore Foundation.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0002140
NSFDMR-1619696
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20170920-104241961
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170920-104241961
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81616
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:20 Sep 2017 18:05
Last Modified:20 Sep 2017 18:05

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