Dirac fermions in an antiferromagnetic semimetal

Tang, Peizhe; Zhou, Quan; Xu, Gang; Zhang, Shou-Cheng

doi:10.1038/NPHYS3839

Title: Dirac fermions in an antiferromagnetic semimetal

Journal Article · Mon Aug 08 00:00:00 EDT 2016 · Nature Physics

DOI:https://doi.org/10.1038/NPHYS3839· OSTI ID:1360178

^[1];

^[1]; Xu, Gang ^[1]; Zhang, Shou-Cheng ^[1]

Stanford Univ., CA (United States). Dept. of Physics

Analogues of the elementary particles have been extensively searched for in condensed-matter systems for both scientific interest and technological applications. Recently, massless Dirac fermions were found to emerge as low-energy excitations in materials now known as Dirac semimetals. All of the currently known Dirac semimetals are non-magnetic with both time-reversal symmetry and inversion symmetry. Here in this paper, we show that Dirac fermions can exist in one type of antiferromagnetic system, where both and are broken but their combination is respected. We propose orthorhombic antiferromagnet CuMnAs as a candidate, analyse the robustness of the Dirac points under symmetry protections and demonstrate its distinctive bulk dispersions, as well as the corresponding surface states, by ab initio calculations. Our results provide a possible platform to study the interplay of Dirac fermion physics and magnetism.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: AC02-76SF00515; DMR-1305677

OSTI ID:: 1360178

Journal Information:: Nature Physics, Vol. 12, Issue 12; ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 195 works

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References (41)

Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Projector augmented-wave method Blöchl, P. E. Physical Review B, Vol. 50, Issue 24, p. 17953-17979 https://doi.org/10.1103/PhysRevB.50.17953	journal	December 1994
Type-II Weyl semimetals Soluyanov, Alexey A.; Gresch, Dominik; Wang, Zhijun Nature, Vol. 527, Issue 7579 https://doi.org/10.1038/nature15768	journal	November 2015
Three-dimensional Dirac semimetal and quantum transport in Cd $_{3}$ As $_{2}$ Wang, Zhijun; Weng, Hongming; Wu, Quansheng Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125427	journal	September 2013
Observation of Fermi arc surface states in a topological metal Xu, S. -Y.; Liu, C.; Kushwaha, S. K. Science, Vol. 347, Issue 6219 https://doi.org/10.1126/science.1256742	journal	December 2014
Absence of neutrinos on a lattice Nielsen, H. B.; Ninomiya, M. Nuclear Physics B, Vol. 185, Issue 1 https://doi.org/10.1016/0550-3213(81)90361-8	journal	July 1981
Dynamical axion field in topological magnetic insulators Li, Rundong; Wang, Jing; Qi, Xiao-Liang Nature Physics, Vol. 6, Issue 4 https://doi.org/10.1038/nphys1534	journal	March 2010
wannier90: A tool for obtaining maximally-localised Wannier functions Mostofi, Arash A.; Yates, Jonathan R.; Lee, Young-Su Computer Physics Communications, Vol. 178, Issue 9 https://doi.org/10.1016/j.cpc.2007.11.016	journal	May 2008
Classification of stable three-dimensional Dirac semimetals with nontrivial topology Yang, Bohm-Jung; Nagaosa, Naoto Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5898	journal	September 2014
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Topological nodal line semimetals with and without spin-orbital coupling Fang, Chen; Chen, Yige; Kee, Hae-Young Physical Review B, Vol. 92, Issue 8 https://doi.org/10.1103/PhysRevB.92.081201	journal	August 2015
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi Liu, Z. K.; Zhou, B.; Zhang, Y. Science, Vol. 343, Issue 6173 https://doi.org/10.1126/science.1245085	journal	January 2014
Chern Semimetal and the Quantized Anomalous Hall Effect in ${HgCr}_{2} {Se}_{4}$ Xu, Gang; Weng, Hongming; Wang, Zhijun Physical Review Letters, Vol. 107, Issue 18 https://doi.org/10.1103/PhysRevLett.107.186806	journal	October 2011
Dirac Semimetal in Three Dimensions Young, S. M.; Zaheer, S.; Teo, J. C. Y. Physical Review Letters, Vol. 108, Issue 14 https://doi.org/10.1103/PhysRevLett.108.140405	journal	April 2012
Discovery of a Weyl fermion semimetal and topological Fermi arcs Xu, S. -Y.; Belopolski, I.; Alidoust, N. Science, Vol. 349, Issue 6248 https://doi.org/10.1126/science.aaa9297	journal	July 2015
Dirac semimetal and topological phase transitions in $A_{3}$ Bi ( $A = Na$ , K, Rb) Wang, Zhijun; Sun, Yan; Chen, Xing-Qiu Physical Review B, Vol. 85, Issue 19 https://doi.org/10.1103/PhysRevB.85.195320	journal	May 2012
Dirac Semimetals in Two Dimensions Young, Steve M.; Kane, Charles L. Physical Review Letters, Vol. 115, Issue 12 https://doi.org/10.1103/PhysRevLett.115.126803	journal	September 2015
The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal Nielsen, H. B.; Ninomiya, Masao Physics Letters B, Vol. 130, Issue 6 https://doi.org/10.1016/0370-2693(83)91529-0	journal	November 1983
Room-temperature antiferromagnetism in CuMnAs Máca, F.; Mašek, J.; Stelmakhovych, O. Journal of Magnetism and Magnetic Materials, Vol. 324, Issue 8 https://doi.org/10.1016/j.jmmm.2011.12.017	journal	April 2012
Prediction of Weyl semimetal in orthorhombic ${MoTe}_{2}$ Sun, Yan; Wu, Shu-Chun; Ali, Mazhar N. Physical Review B, Vol. 92, Issue 16 https://doi.org/10.1103/PhysRevB.92.161107	journal	October 2015
Electrical switching of an antiferromagnet Wadley, P.; Howells, B.; elezny, J. Science, Vol. 351, Issue 6273 https://doi.org/10.1126/science.aab1031	journal	January 2016
A high-temperature ferromagnetic topological insulating phase by proximity coupling Katmis, Ferhat; Lauter, Valeria; Nogueira, Flavio S. Nature, Vol. 533, Issue 7604 https://doi.org/10.1038/nature17635	journal	May 2016
Dirac Line Nodes in Inversion-Symmetric Crystals Kim, Youngkuk; Wieder, Benjamin J.; Kane, C. L. Physical Review Letters, Vol. 115, Issue 3 https://doi.org/10.1103/PhysRevLett.115.036806	journal	July 2015
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase New Journal of Physics, Vol. 9, Issue 9 https://doi.org/10.1088/1367-2630/9/9/356	journal	September 2007
Topological Node-Line Semimetal and Dirac Semimetal State in Antiperovskite ${Cu}_{3} PdN$ Yu, Rui; Weng, Hongming; Fang, Zhong Physical Review Letters, Vol. 115, Issue 3 https://doi.org/10.1103/PhysRevLett.115.036807	journal	July 2015
Symmetry-protected ideal Weyl semimetal in HgTe-class materials Ruan, Jiawei; Jian, Shao-Kai; Yao, Hong Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11136	journal	April 2016
A stable three-dimensional topological Dirac semimetal Cd3As2 Liu, Z. K.; Jiang, J.; Zhou, B. Nature Materials, Vol. 13, Issue 7 https://doi.org/10.1038/nmat3990	journal	May 2014
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin Physical Review B, Vol. 83, Issue 20 https://doi.org/10.1103/PhysRevB.83.205101	journal	May 2011
Evidence for the chiral anomaly in the Dirac semimetal Na3Bi Xiong, J.; Kushwaha, S. K.; Liang, T. Science, Vol. 350, Issue 6259 https://doi.org/10.1126/science.aac6089	journal	September 2015
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8373	journal	June 2015
Darstellung und Kristallstruktur der Verbindungen MnCuX (X = P, As, PxAs1-x) / Preparation and Crystal Structure of Compounds MnCuX (X = P, As, PxAs1-x) Mündelein, Joachim; Schuster, Hans-Uwe Zeitschrift für Naturforschung B, Vol. 47, Issue 7 https://doi.org/10.1515/znb-1992-0705	journal	July 1992
Absence of neutrinos on a lattice: Proof by homotopy theory Nielsen, H. B.; Ninomiya, M. Nuclear Physics B, Vol. 195, Issue 3, p. 541-542 https://doi.org/10.1016/0550-3213(82)90011-6	journal	February 1982
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect Tatemizo, Nobuyuki; Imada, Saki; Okahara, Kizuna Scientific Reports, Vol. 10, Issue 1 https://doi.org/10.1038/s41598-020-58835-5	journal	February 2020
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase Murakami, Shuichi New Journal of Physics, Vol. 10, Issue 2 https://doi.org/10.1088/1367-2630/10/2/029802	journal	February 2008
Absence of neutrinos on a lattice Nielsen, H. B.; Ninomiya, M. Nuclear Physics B, Vol. 193, Issue 1 https://doi.org/10.1016/0550-3213(81)90524-1	journal	December 1981
Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi Liu, Z. K.; Zhou, B.; Wang, Z. J. arXiv https://doi.org/10.48550/arxiv.1310.0391	text	January 2013
Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs Xu, Su-Yang; Belopolski, Ilya; Alidoust, Nasser arXiv https://doi.org/10.48550/arxiv.1502.03807	text	January 2015
Dirac Line Nodes in Inversion Symmetric Crystals Kim, Youngkuk; Wieder, Benjamin J.; Kane, C. L. arXiv https://doi.org/10.48550/arxiv.1504.03807	text	January 2015
Dirac Semimetals in Two Dimensions Young, Steve M.; Kane, Charles L. arXiv https://doi.org/10.48550/arxiv.1504.07977	text	January 2015
Type-II Weyl Semimetals Soluyanov, Alexey A.; Gresch, Dominik; Wang, Zhijun arXiv https://doi.org/10.48550/arxiv.1507.01603	text	January 2015

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Route towards Dirac and Weyl antiferromagnetic spintronics: Route towards Dirac and Weyl antiferromagnetic spintronics Šmejkal, Libor; Jungwirth, Tomáš; Sinova, Jairo physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 4 https://doi.org/10.1002/pssr.201700044	journal	March 2017
Mixed Weyl semimetals and low-dissipation magnetization control in insulators by spin–orbit torques Hanke, Jan-Philipp; Freimuth, Frank; Niu, Chengwang Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01138-7	journal	November 2017
Composite topological nodal lines penetrating the Brillouin zone in orthorhombic AgF2 Shao, Dexi; Wang, Huaiqiang; Chen, Tong npj Computational Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41524-019-0190-3	journal	April 2019
The study of magnetic topological semimetals by first principles calculations Zou, Jinyu; He, Zhuoran; Xu, Gang npj Computational Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41524-019-0237-5	journal	October 2019
The multiple directions of antiferromagnetic spintronics Jungwirth, T.; Sinova, J.; Manchon, A. Nature Physics, Vol. 14, Issue 3 https://doi.org/10.1038/s41567-018-0063-6	journal	March 2018
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Gating effects in antiferromagnetic CuMnAs Grzybowski, M. J.; Wadley, P.; Edmonds, K. W. AIP Advances, Vol. 9, Issue 11 https://doi.org/10.1063/1.5124354	journal	November 2019
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