Symmetry and duality in bosonization of two-dimensional Dirac fermions
Strongly Correlated Electrons
2017-10-25 v1
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.
Keywords
Cite
@article{arxiv.1705.01106,
title = {Symmetry and duality in bosonization of two-dimensional Dirac fermions},
author = {David F. Mross and Jason Alicea and Olexei I. Motrunich},
journal= {arXiv preprint arXiv:1705.01106},
year = {2017}
}
Comments
31 pages, 9 figures