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

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.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1572132
Alternate Identifier(s):
OSTI ID: 1760187
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 949 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Tsui, Lokman, Huang, Yen-Ta, and Lee, Dung-Hai. A holographic theory for the phase transitions between fermionic symmetry-protected topological states. Netherlands: N. p., 2019. Web. doi:10.1016/j.nuclphysb.2019.114799.
Tsui, Lokman, Huang, Yen-Ta, & Lee, Dung-Hai. A holographic theory for the phase transitions between fermionic symmetry-protected topological states. Netherlands. doi:https://doi.org/10.1016/j.nuclphysb.2019.114799
Tsui, Lokman, Huang, Yen-Ta, and Lee, Dung-Hai. Sun . "A holographic theory for the phase transitions between fermionic symmetry-protected topological states". Netherlands. doi:https://doi.org/10.1016/j.nuclphysb.2019.114799.
@article{osti_1572132,
title = {A holographic theory for the phase transitions between fermionic symmetry-protected topological states},
author = {Tsui, Lokman and Huang, Yen-Ta and Lee, Dung-Hai},
abstractNote = {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.},
doi = {10.1016/j.nuclphysb.2019.114799},
journal = {Nuclear Physics. B},
number = C,
volume = 949,
place = {Netherlands},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.1016/j.nuclphysb.2019.114799

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Works referenced in this record:

Quantum phase transitions between a class of symmetry protected topological states
journal, July 2015


Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
journal, October 2018


Discrete spin structures and commuting projector models for two-dimensional fermionic symmetry-protected topological phases
journal, September 2016


Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008


Symmetry-protected topological phases in noninteracting fermion systems
journal, February 2012


Effects of Interaction on Quantum Spin Hall Insulators
journal, October 2011


Edge Quantum Criticality and Emergent Supersymmetry in Topological Phases
journal, September 2017


Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
journal, April 2014


Entanglement Spectrum of Topological Insulators and Superconductors
journal, April 2010


General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
journal, May 2012


Geometric proof of the equality between entanglement and edge spectra
journal, July 2012