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Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions | | David F. Mross
; Jason Alicea
; Olexei I. Motrunich
; | | Date: |
28 Oct 2015 | | 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$_3$. | | Source: | arXiv, 1510.8455 | | Services: | Forum | Review | PDF | Favorites | |
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