A holographic theory for the phase transitions between fermionic symmetry-protected topological states

DOI10.1016/J.NUCLPHYSB.2019.114799zbMath1435.82007arXiv1904.01544OpenAlexW2980454828WikidataQ127095143 ScholiaQ127095143MaRDI QIDQ2186407

Lokman Tsui, Dung-Hai Lee, Yen-Ta Huang

Publication date: 9 June 2020

Published in: Unnamed Author (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1904.01544

Mathematics Subject Classification ID

Cohomology of groups (20J06) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Fermionic systems in quantum theory (81V74)

Cites Work

• Periodic table for topological insulators and superconductors
• Quantum phase transitions between a class of symmetry protected topological states

Related Items (3)

Non-abelian bosonization in two and three spatial dimensions and applications ⋮ Pivot Hamiltonians as generators of symmetry and entanglement ⋮ Building models of topological quantum criticality from pivot Hamiltonians

This page was built for publication: A holographic theory for the phase transitions between fermionic symmetry-protected topological states