paper

A Holographic Theory for the Phase Transitions Between Fermionic Symmetry-protected Topological States

arXiv:1904.01544 · doi:10.1016/j.nuclphysb.2019.114799

Abstract

In an earlier work we developed a holographic theory for the phase transition between bosonic symmetry-protected topological (SPT) states. This paper is a continuation of it. Here we present the holographic theory for fermionic SPT phase transitions. We show that in any dimension $d$ , the critical states of fermionic SPT phase transitions has an emergent $Z_{2}^{T}$ symmetry and can be realized on the boundary of a $d + 1$ -dimensional bulk SPT with an extra $Z_{2}^{T}$ symmetry.

35 pages, 10 figures