Topological crystalline magnets: Symmetry-protected topological phases of fermions
Abstract
Here, we introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call “topological crystalline magnet.” It is protected by the product of the time-reversal symmetry T and a mirror symmetry or a rotation symmetry R. A topological crystalline magnet exhibits two intriguing features: (i) it cannot be adiabatically connected to any Slater insulator and (ii) the edge state is robust against coupling electrons to the edge. These features are protected by the anomalous symmetry transformation property (RT)2 = -1 of the edge state. Finally, an anisotropic response to the external magnetic field can be an experimental signature.
- Authors:
-
- Univ. of Tokyo (Japan). Department of Applied Physics
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1424926
- Alternate Identifier(s):
- OSTI ID: 1345077
- Grant/Contract Number:
- SC0010526
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 8; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Strongly Correlated Electrons; Mesoscale and Nanoscale Physics; Materials Science; Other Condensed Matter
Citation Formats
Watanabe, Haruki, and Fu, Liang. Topological crystalline magnets: Symmetry-protected topological phases of fermions. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.081107.
Watanabe, Haruki, & Fu, Liang. Topological crystalline magnets: Symmetry-protected topological phases of fermions. United States. https://doi.org/10.1103/PhysRevB.95.081107
Watanabe, Haruki, and Fu, Liang. Mon .
"Topological crystalline magnets: Symmetry-protected topological phases of fermions". United States. https://doi.org/10.1103/PhysRevB.95.081107. https://www.osti.gov/servlets/purl/1424926.
@article{osti_1424926,
title = {Topological crystalline magnets: Symmetry-protected topological phases of fermions},
author = {Watanabe, Haruki and Fu, Liang},
abstractNote = {Here, we introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call “topological crystalline magnet.” It is protected by the product of the time-reversal symmetry T and a mirror symmetry or a rotation symmetry R. A topological crystalline magnet exhibits two intriguing features: (i) it cannot be adiabatically connected to any Slater insulator and (ii) the edge state is robust against coupling electrons to the edge. These features are protected by the anomalous symmetry transformation property (RT)2 = -1 of the edge state. Finally, an anisotropic response to the external magnetic field can be an experimental signature.},
doi = {10.1103/PhysRevB.95.081107},
journal = {Physical Review B},
number = 8,
volume = 95,
place = {United States},
year = {Mon Feb 27 00:00:00 EST 2017},
month = {Mon Feb 27 00:00:00 EST 2017}
}
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Works referenced in this record:
Direct observation and temperature control of the surface Dirac gap in a topological crystalline insulator
journal, October 2015
- Wojek, B. M.; Berntsen, M. H.; Jonsson, V.
- Nature Communications, Vol. 6, Issue 1
Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
journal, January 2012
- Xu, Su-Yang; Liu, Chang; Alidoust, N.
- Nature Communications, Vol. 3, Issue 1
Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator
journal, August 2013
- Okada, Y.; Serbyn, M.; Lin, H.
- Science, Vol. 341, Issue 6153
Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
journal, November 2015
- Watanabe, Haruki; Po, Hoi Chun; Vishwanath, Ashvin
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 47
Coupled-layer description of topological crystalline insulators
journal, September 2016
- Fulga, I. C.; Avraham, N.; Beidenkopf, H.
- Physical Review B, Vol. 94, Issue 12
Rigorous results on valence-bond ground states in antiferromagnets
journal, August 1987
- Affleck, Ian; Kennedy, Tom; Lieb, Elliott H.
- Physical Review Letters, Vol. 59, Issue 7
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
Strong side of weak topological insulators
journal, July 2012
- Ringel, Zohar; Kraus, Yaacov E.; Stern, Ady
- Physical Review B, Vol. 86, Issue 4
Topological Insulators from Group Cohomology
journal, April 2016
- Alexandradinata, A.; Wang, Zhijun; Bernevig, B. Andrei
- Physical Review X, Vol. 6, Issue 2
Hourglass fermions
journal, April 2016
- Wang, Zhijun; Alexandradinata, A.; Cava, R. J.
- Nature, Vol. 532, Issue 7598
Breakdown of the topological classification for gapped phases of noninteracting fermions by quartic interactions
journal, September 2015
- Morimoto, Takahiro; Furusaki, Akira; Mudry, Christopher
- Physical Review B, Vol. 92, Issue 12
Topological nonsymmorphic crystalline insulators
journal, August 2014
- Liu, Chao-Xing; Zhang, Rui-Xing; VanLeeuwen, Brian K.
- Physical Review B, Vol. 90, Issue 8
Classifying quantum phases using matrix product states and projected entangled pair states
journal, October 2011
- Schuch, Norbert; Pérez-García, David; Cirac, Ignacio
- Physical Review B, Vol. 84, Issue 16
Topology of crystalline insulators and superconductors
journal, October 2014
- Shiozaki, Ken; Sato, Masatoshi
- Physical Review B, Vol. 90, Issue 16
Theory of interacting topological crystalline insulators
journal, August 2015
- Isobe, Hiroki; Fu, Liang
- Physical Review B, Vol. 92, Issue 8
Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
journal, March 2015
- Ando, Yoichi; Fu, Liang
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Topological order and absence of band insulators at integer filling in non-symmorphic crystals
journal, April 2013
- Parameswaran, Siddharth A.; Turner, Ari M.; Arovas, Daniel P.
- Nature Physics, Vol. 9, Issue 5
Symmetry-Protected Topological Phases of Quantum Matter
journal, March 2015
- Senthil, T.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Topological Phases Protected by Point Group Symmetry
journal, February 2017
- Song, Hao; Huang, Sheng-Jie; Fu, Liang
- Physical Review X, Vol. 7, Issue 1
Interaction-enabled topological crystalline phases
journal, March 2016
- Lapa, Matthew F.; Teo, Jeffrey C. Y.; Hughes, Taylor L.
- Physical Review B, Vol. 93, Issue 11
Experimental realization of a topological crystalline insulator in SnTe
journal, September 2012
- Tanaka, Y.; Ren, Zhi; Sato, T.
- Nature Physics, Vol. 8, Issue 11
Topology of nonsymmorphic crystalline insulators and superconductors
journal, May 2016
- Shiozaki, Ken; Sato, Masatoshi; Gomi, Kiyonori
- Physical Review B, Vol. 93, Issue 19
Topological Crystalline Insulators
journal, March 2011
- Fu, Liang
- Physical Review Letters, Vol. 106, Issue 10
Equivalence of the antiferromagnetic Heisenberg ladder to a single S =1 chain
journal, January 1996
- White, Steven R.
- Physical Review B, Vol. 53, Issue 1
Topological Insulators in Three Dimensions
journal, March 2007
- Fu, Liang; Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 98, Issue 10, Article No. 106803
Antiferromagnetic topological insulators
journal, June 2010
- Mong, Roger S. K.; Essin, Andrew M.; Moore, Joel E.
- Physical Review B, Vol. 81, Issue 24
Topological crystalline insulator states in Pb1−xSnxSe
journal, September 2012
- Dziawa, P.; Kowalski, B. J.; Dybko, K.
- Nature Materials, Vol. 11, Issue 12
Classification of topological quantum matter with symmetries
journal, August 2016
- Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.
- Reviews of Modern Physics, Vol. 88, Issue 3
Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
journal, February 2015
- Zeljkovic, Ilija; Okada, Yoshinori; Serbyn, Maksym
- Nature Materials, Vol. 14, Issue 3
Featureless quantum insulator on the honeycomb lattice
journal, August 2016
- Kim, Panjin; Lee, Hyunyong; Jiang, Shenghan
- Physical Review B, Vol. 94, Issue 6
topology in nonsymmorphic crystalline insulators: Möbius twist in surface states
journal, April 2015
- Shiozaki, Ken; Sato, Masatoshi; Gomi, Kiyonori
- Physical Review B, Vol. 91, Issue 15
Topological crystalline insulators in the SnTe material class
journal, January 2012
- Hsieh, Timothy H.; Lin, Hsin; Liu, Junwei
- Nature Communications, Vol. 3, Article No. 982
New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
journal, April 2015
- Fang, Chen; Fu, Liang
- Physical Review B, Vol. 91, Issue 16
Entanglement spectrum of a topological phase in one dimension
journal, February 2010
- Pollmann, Frank; Turner, Ari M.; Berg, Erez
- Physical Review B, Vol. 81, Issue 6
Classification of gapped symmetric phases in one-dimensional spin systems
journal, January 2011
- Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 83, Issue 3
Bosonic symmetry-protected topological phases with reflection symmetry
journal, December 2015
- Yoshida, Tsuneya; Morimoto, Takahiro; Furusaki, Akira
- Physical Review B, Vol. 92, Issue 24
Flux-Fusion Anomaly Test and Bosonic Topological Crystalline Insulators
journal, October 2016
- Hermele, Michael; Chen, Xie
- Physical Review X, Vol. 6, Issue 4
Symmetry-protected topological states of interacting fermions and bosons
journal, December 2014
- You, Yi-Zhuang; Xu, Cenke
- Physical Review B, Vol. 90, Issue 24
Phase transitions between topologically distinct gapped phases in isotropic spin ladders
journal, December 2000
- Kim, Eugene H.; Fáth, G.; Sólyom, J.
- Physical Review B, Vol. 62, Issue 22
Topological crystalline Bose insulator in two dimensions via entanglement spectrum
journal, November 2015
- Ware, Brayden; Kimchi, Itamar; Parameswaran, S. A.
- Physical Review B, Vol. 92, Issue 19
Hourglass fermion surface states in stacked topological insulators with nonsymmorphic symmetry
journal, October 2016
- Ezawa, Motohiko
- Physical Review B, Vol. 94, Issue 15
String order and adiabatic continuity of Haldane chains and band insulators
journal, April 2007
- Anfuso, F.; Rosch, A.
- Physical Review B, Vol. 75, Issue 14
Valence bond ground states in isotropic quantum antiferromagnets
journal, September 1988
- Affleck, Ian; Kennedy, Tom; Lieb, Elliott H.
- Communications in Mathematical Physics, Vol. 115, Issue 3
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
journal, December 2012
- Chen, X.; Gu, Z. -C.; Liu, Z. -X.
- Science, Vol. 338, Issue 6114
Works referencing / citing this record:
Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
journal, July 2018
- Shiozaki, Ken; Shapourian, Hassan; Gomi, Kiyonori
- Physical Review B, Vol. 98, Issue 3
Higher-order symmetry-protected topological states for interacting bosons and fermions
text, January 2018
- You, Yizhi; Devakul, Trithep; Burnell, F. J.
- American Physical Society
Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
text, January 2017
- Shiozaki, Ken; Shapourian, Hassan; Gomi, Kiyonori
- arXiv
Figures / Tables found in this record:
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