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arXiv · 1705.01106

Symmetry and duality in bosonization of two-dimensional Dirac fermions

David F. Mross·Jason Alicea·Olexei I. Motrunich
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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.

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David F. Mross, Jason Alicea, Olexei I. Motrunich. 2017-05-02. Symmetry and duality in bosonization of two-dimensional Dirac fermions. https://doi.org/10.1103/physrevx.7.041016

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