Topological nodal line semimetals with and without spin-orbital coupling
Abstract
Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines in the same symmetry class, each nodal line has a Z 2 monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Univ. of Toronto, Toronto, ON (Canada); Canadian Inst. for Advanced Research/Quantum Materials Program, Toronto, ON (Canada)
- 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)
- OSTI Identifier:
- 1505795
- Alternate Identifier(s):
- OSTI ID: 1209840
- Grant/Contract Number:
- SC0001299; FG02-09ER46577
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 8; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling. United States: N. p., 2015.
Web. doi:10.1103/physrevb.92.081201.
Fang, Chen, Chen, Yige, Kee, Hae -Young, & Fu, Liang. Topological nodal line semimetals with and without spin-orbital coupling. United States. doi:10.1103/physrevb.92.081201.
Fang, Chen, Chen, Yige, Kee, Hae -Young, and Fu, Liang. Mon .
"Topological nodal line semimetals with and without spin-orbital coupling". United States. doi:10.1103/physrevb.92.081201. https://www.osti.gov/servlets/purl/1505795.
@article{osti_1505795,
title = {Topological nodal line semimetals with and without spin-orbital coupling},
author = {Fang, Chen and Chen, Yige and Kee, Hae -Young and Fu, Liang},
abstractNote = {Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines in the same symmetry class, each nodal line has a Z2 monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.},
doi = {10.1103/physrevb.92.081201},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 8,
volume = 92,
place = {United States},
year = {2015},
month = {8}
}
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Figures / Tables:
FIG. 1: (a) A nontrivial Z2 invariant (Berry’s phase of π ) of any loop in 3D BZ implies a nodal line (solid line) passing through the loop. (b) The 2D Z2 invariant for a nodal line in 3D BZ defined on a sphere enclosing the line. (c) The evolutionmore »
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Works referenced in this record:
Landau level quantization and almost flat modes in three-dimensional semimetals with nodal ring spectra
journal, July 2015
- Rhim, Jun-Won; Kim, Yong Baek
- Physical Review B, Vol. 92, Issue 4
Line of Dirac Nodes in Hyperhoneycomb Lattices
journal, July 2015
- Mullen, Kieran; Uchoa, Bruno; Glatzhofer, Daniel T.
- Physical Review Letters, Vol. 115, Issue 2
Observation of Fermi arc surface states in a topological metal
journal, December 2014
- Xu, S. -Y.; Liu, C.; Kushwaha, S. K.
- Science, Vol. 347, Issue 6219
Tunable line node semimetals
journal, September 2014
- Phillips, Michael; Aji, Vivek
- Physical Review B, Vol. 90, Issue 11
Topological nonsymmorphic crystalline insulators
journal, August 2014
- Liu, Chao-Xing; Zhang, Rui-Xing; VanLeeuwen, Brian K.
- Physical Review B, Vol. 90, Issue 8
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
Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2
journal, May 2014
- Neupane, Madhab; Xu, Su-Yang; Sankar, Raman
- Nature Communications, Vol. 5, Issue 1
Experimental observation of Weyl points
journal, July 2015
- Lu, L.; Wang, Z.; Ye, D.
- Science, Vol. 349, Issue 6248
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi
journal, January 2014
- Liu, Z. K.; Zhou, B.; Zhang, Y.
- Science, Vol. 343, Issue 6173
Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011
- Burkov, A. A.; Balents, Leon
- Physical Review Letters, Vol. 107, Issue 12
Classification of reflection-symmetry-protected topological semimetals and nodal superconductors
journal, November 2014
- Chiu, Ching-Kai; Schnyder, Andreas P.
- Physical Review B, Vol. 90, Issue 20
Dirac Semimetal in Three Dimensions
journal, April 2012
- Young, S. M.; Zaheer, S.; Teo, J. C. Y.
- Physical Review Letters, Vol. 108, Issue 14
Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015
- Weng, Hongming; Fang, Chen; Fang, Zhong
- Physical Review X, Vol. 5, Issue 1
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
Topological node-line semimetal in three-dimensional graphene networks
journal, July 2015
- Weng, Hongming; Liang, Yunye; Xu, Qiunan
- Physical Review B, Vol. 92, Issue 4
Topological crystalline metal in orthorhombic perovskite iridates
journal, March 2015
- Chen, Yige; Lu, Yuan-Ming; Kee, Hae-Young
- Nature Communications, Vol. 6, Issue 1
Dirac semimetal and topological phase transitions in Bi ( , K, Rb)
journal, May 2012
- Wang, Zhijun; Sun, Yan; Chen, Xing-Qiu
- Physical Review B, Vol. 85, Issue 19
Topological nodal semimetals
journal, December 2011
- Burkov, A. A.; Hook, M. D.; Balents, Leon
- Physical Review B, Vol. 84, Issue 23
Experimental Discovery of Weyl Semimetal TaAs
journal, July 2015
- Lv, B. Q.; Weng, H. M.; Fu, B. B.
- Physical Review X, Vol. 5, Issue 3
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 photonics
journal, October 2014
- Lu, Ling; Joannopoulos, John D.; Soljačić, Marin
- Nature Photonics, Vol. 8, Issue 11
Chiral gauge field and axial anomaly in a Weyl semimetal
journal, June 2013
- Liu, Chao-Xing; Ye, Peng; Qi, Xiao-Liang
- Physical Review B, Vol. 87, Issue 23
Chiral anomaly and classical negative magnetoresistance of Weyl metals
journal, September 2013
- Son, D. T.; Spivak, B. Z.
- Physical Review B, Vol. 88, Issue 10
Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
journal, June 2012
- Fang, Chen; Gilbert, Matthew J.; Dai, Xi
- Physical Review Letters, Vol. 108, Issue 26
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
Quantum Transport Evidence for the Three-Dimensional Dirac Semimetal Phase in
journal, December 2014
- He, L. P.; Hong, X. C.; Dong, J. K.
- Physical Review Letters, Vol. 113, Issue 24
Semimetal and Topological Insulator in Perovskite Iridates
journal, March 2012
- Carter, Jean-Michel; Shankar, V. Vijay; Zeb, M. Ahsan
- Physical Review B, Vol. 85, Issue 11
Dirac Line Nodes in Inversion-Symmetric Crystals
journal, July 2015
- Kim, Youngkuk; Wieder, Benjamin J.; Kane, C. L.
- Physical Review Letters, Vol. 115, Issue 3
Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite
journal, July 2015
- Yu, Rui; Weng, Hongming; Fang, Zhong
- Physical Review Letters, Vol. 115, Issue 3
Charge Transport in Weyl Semimetals
journal, January 2012
- Hosur, Pavan; Parameswaran, S. A.; Vishwanath, Ashvin
- Physical Review Letters, Vol. 108, Issue 4
A stable three-dimensional topological Dirac semimetal Cd3As2
journal, May 2014
- Liu, Z. K.; Jiang, J.; Zhou, B.
- Nature Materials, Vol. 13, Issue 7
Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014
- Jeon, Sangjun; Zhou, Brian B.; Gyenis, Andras
- Nature Materials, Vol. 13, Issue 9
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
A new form of Ca 3 P 2 with a ring of Dirac nodes
journal, August 2015
- Xie, Lilia S.; Schoop, Leslie M.; Seibel, Elizabeth M.
- APL Materials, Vol. 3, Issue 8
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015
- Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya
- Nature Communications, Vol. 6, Issue 1
Works referencing / citing this record:
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- Kim, Minkyung; Lee, Dasol; Lee, Dongwoo
- Physical Review B, Vol. 99, Issue 23
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