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Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions

Mross, David F. and Alicea, Jason and Motrunich, Olexei I. (2016) Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions. Physical Review Letters, 117 (1). Art. No. 016802. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20160404-083319765

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Abstract

We explicitly derive the duality between a free electronic Dirac cone and quantum electrodynamics in (2+1) dimensions (QED_3) with N=1 fermion flavors. The duality proceeds via an exact, non-local mapping from electrons to dual fermions with long-range interactions encoded by an emergent gauge field. This mapping allows us to construct parent Hamiltonians for exotic topological-insulator surface phases, derive the particle-hole-symmetric field theory of a half-filled Landau level, and nontrivially constrain QED_3 scaling dimensions. We similarly establish duality between bosonic topological insulator surfaces and N=2 QED_3.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.117.016802DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.117.016802PublisherArticle
http://arxiv.org/abs/1510.08455arXivDiscussion Paper
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2016 American Physical Society. Received 11 January 2016; published 27 June 2016. We gratefully acknowledge C. Kane, M. Mulligan, S. Raghu, T. Senthil, A. Vishwanath, and C. Xu for valuable discussions. This work was supported by the NSF through Grant No. DMR-1341822 (J. A.) and Grant No. DMR-1206096 (O. I.M.); the Alfred P. Sloan Foundation (J. A.); the Caltech Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, IQIM, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1341822
NSFDMR-1206096
Alfred P. Sloan FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20160404-083319765
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160404-083319765
Official Citation:Explicit Derivation of Duality between a Free Dirac Cone and Quantum Electrodynamics in (2+1) Dimensions David F. Mross, Jason Alicea, and Olexei I. Motrunich Phys. Rev. Lett. 117, 016802 (2016) – Published 27 June 2016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65877
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:04 Apr 2016 17:54
Last Modified:13 Dec 2016 03:22

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