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Published June 2016 | Published + Supplemental Material + Submitted
Journal Article Open

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

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.

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.

Attached Files

Published - PhysRevLett.117.pdf

Submitted - 1510.08455v2.pdf

Supplemental Material - supp.pdf

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Additional details

Created:
August 20, 2023
Modified:
October 18, 2023