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Article overview
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Symmetry and duality in bosonization of two-dimensional Dirac fermions | David F. Mross
; Jason Alicea
; Olexei I. Motrunich
; | Date: |
2 May 2017 | Abstract: | Recent work on a family of boson-fermion mappings has emphasized the
interplay of symmetry and duality: Phases related by a particle-vortex duality
of bosons (fermions) are related by time-reversal symmetry in their fermionic
(bosonic) formulation. We present exact mappings for a number of concrete
models that make this property explicit on the operator level. We illustrate
the approach with one- and two-dimensional quantum Ising models, and then
similarly explore the duality web of complex bosons and Dirac fermions in (2+1)
dimensions. | Source: | arXiv, 1705.1106 | Services: | Forum | Review | PDF | Favorites |
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