Non-abelian bosonization of fermion symmetry-protected topological states

2022/06/19 by Huang, Yen-Ta, Lee, Dung-Hai
#FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2206.09393

Abstract

Applying the results of Ref.[1], we carry out the non-abelian bosonization for a class of free fermion symmetry-protected topological states (SPTs). The resulting boson theories are non-linear sigma models with topological θ term, thus unifying the field theory description of the (free) fermionic and bosonic SPTs. Tuning θ from 0 to 2π triggers the topological trivial to non-trivial phase transitions. In addition, applying the same idea to the symmetry-protected critical spin liquids, we obtain the NL\s models for spin SPTs living in one spatial dimension higher.

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