Weyl points created by a three-dimensional flat band
Abstract
Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial inversion symmetry of a Dirac point. Here we demonstrate a generic formation mechanism for Weyl points by breaking TRS of a three-dimensional (3D) TI featured with highly degenerate 3D flat bands (FBs). It is in direct contrast to the conventional view that breaking TRS of a 2D/3D TI leads to a Chern insulator exhibiting quantum anomalous Hall effect. Based on a tight-binding model of pyrochlore lattice, we show that this unusual 3D-FB-enabled Weyl state may contain only a minimum of two Weyl points. Furthermore, using first-principles calculations, we identify this Weyl state in a real material Sn 2Nb 2O 7. The main features of the resulting Weyl points are analyzed with respect to symmetry, topological invariant and surface state. Finally, our finding sheds new light on our fundamental understanding of topological physics and significantly extends the scope of Weyl semimetals to attract immediate experimental interest.
- Authors:
-
- Univ. of Utah, Salt Lake City, UT (United States)
- Univ. of Science and Technology of China, Hefei (China)
- Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (China)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory-National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1527174
- Alternate Identifier(s):
- OSTI ID: 1512351
- Grant/Contract Number:
- FG02-04ER46148
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 20; 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
Citation Formats
Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, and Liu, Feng. Weyl points created by a three-dimensional flat band. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.201105.
Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, & Liu, Feng. Weyl points created by a three-dimensional flat band. United States. https://doi.org/10.1103/PhysRevB.99.201105
Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, and Liu, Feng. Mon .
"Weyl points created by a three-dimensional flat band". United States. https://doi.org/10.1103/PhysRevB.99.201105. https://www.osti.gov/servlets/purl/1527174.
@article{osti_1527174,
title = {Weyl points created by a three-dimensional flat band},
author = {Zhou, Yinong and Jin, Kyung-Hwan and Huang, Huaqing and Wang, Zhengfei and Liu, Feng},
abstractNote = {Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial inversion symmetry of a Dirac point. Here we demonstrate a generic formation mechanism for Weyl points by breaking TRS of a three-dimensional (3D) TI featured with highly degenerate 3D flat bands (FBs). It is in direct contrast to the conventional view that breaking TRS of a 2D/3D TI leads to a Chern insulator exhibiting quantum anomalous Hall effect. Based on a tight-binding model of pyrochlore lattice, we show that this unusual 3D-FB-enabled Weyl state may contain only a minimum of two Weyl points. Furthermore, using first-principles calculations, we identify this Weyl state in a real material Sn2Nb2O7. The main features of the resulting Weyl points are analyzed with respect to symmetry, topological invariant and surface state. Finally, our finding sheds new light on our fundamental understanding of topological physics and significantly extends the scope of Weyl semimetals to attract immediate experimental interest.},
doi = {10.1103/PhysRevB.99.201105},
url = {https://www.osti.gov/biblio/1527174},
journal = {Physical Review B},
issn = {2469-9950},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
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Works referenced in this record:
Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material
journal, June 2017
- Reis, F.; Li, G.; Dudy, L.
- Science, Vol. 357, Issue 6348
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Ferromagnetism in the Hubbard models with degenerate single-electron ground states
journal, September 1992
- Tasaki, Hal
- Physical Review Letters, Vol. 69, Issue 10
Projector augmented-wave method
journal, December 1994
- Blöchl, P. E.
- Physical Review B, Vol. 50, Issue 24, p. 17953-17979
Possibility of Flat-Band Ferromagnetism in Hole-Doped Pyrochlore Oxides and
journal, May 2018
- Hase, I.; Yanagisawa, T.; Aiura, Y.
- Physical Review Letters, Vol. 120, Issue 19
Quantum Spin Hall Insulator State in HgTe Quantum Wells
journal, November 2007
- Konig, M.; Wiedmann, S.; Brune, C.
- Science, Vol. 318, Issue 5851, p. 766-770
Topological Materials: Weyl Semimetals
journal, March 2017
- Yan, Binghai; Felser, Claudia
- Annual Review of Condensed Matter Physics, Vol. 8, Issue 1
Quantum spin Hall effect and spin-charge separation in a kagomé lattice
journal, April 2010
- Wang, Zhigang; Zhang, Ping
- New Journal of Physics, Vol. 12, Issue 4
wannier90: A tool for obtaining maximally-localised Wannier functions
journal, May 2008
- Mostofi, Arash A.; Yates, Jonathan R.; Lee, Young-Su
- Computer Physics Communications, Vol. 178, Issue 9
Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
journal, April 2011
- Kurita, Moyuru; Yamaji, Youhei; Imada, Masatoshi
- Journal of the Physical Society of Japan, Vol. 80, Issue 4
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
journal, December 2006
- Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C.
- Science, Vol. 314, Issue 5806, p. 1757-1761
From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999
- Kresse, G.; Joubert, D.
- Physical Review B, Vol. 59, Issue 3, p. 1758-1775
Chern Semimetal and the Quantized Anomalous Hall Effect in
journal, October 2011
- Xu, Gang; Weng, Hongming; Wang, Zhijun
- Physical Review Letters, Vol. 107, Issue 18
Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997
- Marzari, Nicola; Vanderbilt, David
- Physical Review B, Vol. 56, Issue 20
Exotic electronic states in the world of flat bands: From theory to material
journal, July 2014
- Liu, Zheng; Liu, Feng; Wu, Yong-Shi
- Chinese Physics B, Vol. 23, Issue 7
Exact ground states for the Hubbard model on the Kagome lattice
journal, August 1992
- Mielke, A.
- Journal of Physics A: Mathematical and General, Vol. 25, Issue 16
Superconductivity in repulsively interacting fermions on a diamond chain: Flat-band-induced pairing
journal, December 2016
- Kobayashi, Keita; Okumura, Masahiko; Yamada, Susumu
- Physical Review B, Vol. 94, Issue 21
Magnetic-field effects on a two-dimensional Kagomé lattice of quantum dots
journal, February 2002
- Kimura, Takashi; Tamura, Hiroyuki; Shiraishi, Kenji
- Physical Review B, Vol. 65, Issue 8
High-precision sampling for Brillouin-zone integration in metals
journal, August 1989
- Methfessel, M.; Paxton, A. T.
- Physical Review B, Vol. 40, Issue 6
Observation of Weyl nodes in TaAs
journal, August 2015
- Lv, B. Q.; Xu, N.; Weng, H. M.
- Nature Physics, Vol. 11, Issue 9
Stability of Ferromagnetism in the Hubbard Model on the Kagome Lattice
journal, February 2003
- Tanaka, Akinori; Ueda, Hiromitsu
- Physical Review Letters, Vol. 90, Issue 6
Fully unconstrained noncollinear magnetism within the projector augmented-wave method
journal, November 2000
- Hobbs, D.; Kresse, G.; Hafner, J.
- Physical Review B, Vol. 62, Issue 17
Weyl semimetal phase in the non-centrosymmetric compound TaAs
journal, August 2015
- Yang, L. X.; Liu, Z. K.; Sun, Y.
- Nature Physics, Vol. 11, Issue 9
Topological insulator on the kagome lattice
journal, September 2009
- Guo, H. -M.; Franz, M.
- Physical Review B, Vol. 80, Issue 11
Fractional Quantum Hall States at Zero Magnetic Field
journal, June 2011
- Neupert, Titus; Santos, Luiz; Chamon, Claudio
- Physical Review Letters, Vol. 106, Issue 23
High-Temperature Fractional Quantum Hall States
journal, June 2011
- Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang
- Physical Review Letters, Vol. 106, Issue 23
Nearly Flatbands with Nontrivial Topology
journal, June 2011
- Sun, Kai; Gu, Zhengcheng; Katsura, Hosho
- Physical Review Letters, Vol. 106, Issue 23
Proposed realization of itinerant ferromagnetism in optical lattices
journal, November 2010
- Zhang, Shizhong; Hung, Hsiang-hsuan; Wu, Congjun
- Physical Review A, Vol. 82, Issue 5
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982
- Thouless, D. J.; Kohmoto, M.; Nightingale, M. P.
- Physical Review Letters, Vol. 49, Issue 6
Ferromagnetism in the Hubbard model on line graphs and further considerations
journal, July 1991
- Mielke, A.
- Journal of Physics A: Mathematical and General, Vol. 24, Issue 14
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
journal, March 2013
- Chang, C. -Z.; Zhang, J.; Feng, X.
- Science, Vol. 340, Issue 6129
BCS theory on a flat band lattice
journal, September 2007
- Miyahara, S.; Kusuta, S.; Furukawa, N.
- Physica C: Superconductivity, Vol. 460-462
Topological Order and the Quantum Spin Hall Effect
journal, September 2005
- Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 95, Issue 14, Article No. 146802
Quantum Anomalous Hall Effect in 2D Organic Topological Insulators
journal, May 2013
- Wang, Z. F.; Liu, Zheng; Liu, Feng
- Physical Review Letters, Vol. 110, Issue 19
Quantum Spin Hall Effect in Graphene
journal, November 2005
- Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 95, Issue 22
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996
- Kresse, G.; Furthmüller, J.
- Physical Review B, Vol. 54, Issue 16, p. 11169-11186
Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to Fractional Chern Insulators
journal, January 2015
- Bergholtz, E. J.; Liu, Zhao; Trescher, M.
- Physical Review Letters, Vol. 114, Issue 1
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface
journal, September 2014
- Zhou, Miao; Ming, Wenmei; Liu, Zheng
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 40
Ferromagnetic ground states for the Hubbard model on line graphs
journal, January 1991
- Mielke, A.
- Journal of Physics A: Mathematical and General, Vol. 24, Issue 2
Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015
- Xu, S. -Y.; Belopolski, I.; Alidoust, N.
- Science, Vol. 349, Issue 6248
-orbital counterpart of graphene: Cold atoms in the honeycomb optical lattice
journal, June 2008
- Wu, Congjun; Das Sarma, S.
- Physical Review B, Vol. 77, Issue 23
Kinetic Ferromagnetism on a Kagome Lattice
journal, April 2008
- Pollmann, F.; Fulde, P.; Shtengel, K.
- Physical Review Letters, Vol. 100, Issue 13
WannierTools: An open-source software package for novel topological materials
journal, March 2018
- Wu, QuanSheng; Zhang, ShengNan; Song, Hai-Feng
- Computer Physics Communications, Vol. 224
Z Q topological invariants for Polyacetylene, Kagome and Pyrochlore lattices
journal, June 2011
- Hatsugai, Y.; Maruyama, I.
- EPL (Europhysics Letters), Vol. 95, Issue 2
Prediction of a Two-Dimensional Organic Topological Insulator
journal, May 2013
- Wang, Z. F.; Su, Ninghai; Liu, Feng
- Nano Letters, Vol. 13, Issue 6, p. 2842-2845
Three-Dimensional Topological Insulators on the Pyrochlore Lattice
journal, November 2009
- Guo, H. -M.; Franz, M.
- Physical Review Letters, Vol. 103, Issue 20
Quantized Anomalous Hall Effect in Magnetic Topological Insulators
journal, June 2010
- Yu, R.; Zhang, W.; Zhang, H. -J.
- Science, Vol. 329, Issue 5987
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011
- Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin
- Physical Review B, Vol. 83, Issue 20
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice
journal, August 2007
- Wu, Congjun; Bergman, Doron; Balents, Leon
- Physical Review Letters, Vol. 99, Issue 7
Spin Hall effect on the kagome lattice with Rashba spin-orbit interaction
journal, January 2009
- Liu, Guocai; Zhang, Ping; Wang, Zhigang
- Physical Review B, Vol. 79, Issue 3