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 Laboratory (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. 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. 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 = {Sun Dec 01 00:00:00 EST 2019},
month = {Sun Dec 01 00:00:00 EST 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.nuclphysb.2019.114799
https://doi.org/10.1016/j.nuclphysb.2019.114799
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 5 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008
- Schnyder, Andreas P.; Ryu, Shinsei; Furusaki, Akira
- Physical Review B, Vol. 78, Issue 19
Full commuting projector Hamiltonians of interacting symmetry-protected topological phases of fermions
journal, October 2018
- Tantivasadakarn, Nathanan; Vishwanath, Ashvin
- Physical Review B, Vol. 98, Issue 16
General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
journal, May 2012
- Qi, Xiao-Liang; Katsura, Hosho; Ludwig, Andreas W. W.
- Physical Review Letters, Vol. 108, Issue 19
Geometric proof of the equality between entanglement and edge spectra
journal, July 2012
- Swingle, Brian; Senthil, T.
- Physical Review B, Vol. 86, Issue 4
Quantum phase transitions between a class of symmetry protected topological states
journal, July 2015
- Tsui, Lokman; Jiang, Hong-Chen; Lu, Yuan-Ming
- Nuclear Physics B, Vol. 896
Emergent Space-Time Supersymmetry at the Boundary of a Topological Phase
journal, April 2014
- Grover, T.; Sheng, D. N.; Vishwanath, A.
- Science, Vol. 344, Issue 6181
Discrete spin structures and commuting projector models for two-dimensional fermionic symmetry-protected topological phases
journal, September 2016
- Tarantino, Nicolas; Fidkowski, Lukasz
- Physical Review B, Vol. 94, Issue 11
Symmetry-protected topological phases in noninteracting fermion systems
journal, February 2012
- Wen, Xiao-Gang
- Physical Review B, Vol. 85, Issue 8
Effects of Interaction on Quantum Spin Hall Insulators
journal, October 2011
- Lee, Dung-Hai
- Physical Review Letters, Vol. 107, Issue 16
Edge Quantum Criticality and Emergent Supersymmetry in Topological Phases
journal, September 2017
- Li, Zi-Xiang; Jiang, Yi-Fan; Yao, Hong
- Physical Review Letters, Vol. 119, Issue 10
Entanglement Spectrum of Topological Insulators and Superconductors
journal, April 2010
- Fidkowski, Lukasz
- Physical Review Letters, Vol. 104, Issue 13