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. doi:10.1103/PhysRevLett.117.016802. https://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.
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| 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, Walter Burke Institute for Theoretical Physics | ||||||||||||||||
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| Issue or Number: | 1 | ||||||||||||||||
| DOI: | 10.1103/PhysRevLett.117.016802 | ||||||||||||||||
| Record Number: | CaltechAUTHORS:20160404-083319765 | ||||||||||||||||
| Persistent URL: | https://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: | 10 Nov 2021 23:50 |
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