Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa

Chang, Guoqing; Xu, Su-Yang; Zhou, Xiaoting; Huang, Shin-Ming; Singh, Bahadur; Wang, Baokai; Belopolski, Ilya; Yin, Jiaxin; Zhang, Songtian; Bansil, Arun; Lin, Hsin; Hasan, M. Zahid

doi:10.1103/PhysRevLett.119.156401

Title: Topological Hopf and Chain Link Semimetal States and Their Application to ${Co}_{2} Mn G a$

Journal Article · Fri Oct 13 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.119.156401· OSTI ID:1544365

Chang, Guoqing ^[1]; Xu, Su-Yang ^[2]; Zhou, Xiaoting ^[1]; Huang, Shin-Ming ^[3]; Singh, Bahadur ^[1]; Wang, Baokai ^[4]; Belopolski, Ilya ^[2]; Yin, Jiaxin ^[2]; Zhang, Songtian ^[2]; Bansil, Arun ^[4]; Lin, Hsin ^[1]; Hasan, M. Zahid ^[5]

National Univ. of Singapore (Singapore)
Princeton Univ., NJ (United States)
National Sun Yat-sen Univ., Kaohsiung (Taiwan)
Northeastern Univ., Boston, MA (United States)
Princeton Univ., NJ (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Topological semimetals can be classified by the connectivity and dimensionality of the band crossings in momentum space. The band crossings of a Dirac, Weyl, or an unconventional fermion semimetal are zero-dimensional (0D) points, whereas the band crossings of a nodal-line semimetal are one-dimensional (1D) closed loops. Here we propose that the presence of perpendicular crystalline mirror planes can protect three-dimensional (3D) band crossings characterized by nontrivial links such as a Hopf link or a coupled chain, giving rise to a variety of new types of topological semimetals. We show that the nontrivial winding number protects topological surface states distinct from those in previously known topological semimetals with a vanishing spin-orbit interaction. We also show that these nontrivial links can be engineered by tuning the mirror eigenvalues associated with the perpendicular mirror planes. Using first-principles band structure calculations, we predict the ferromagnetic full Heusler compound Co₂MnGa as a candidate. Here, both Hopf link and chainlike bulk band crossings and unconventional topological surface states are identified.

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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-05CH11231; FG02-07ER46352

OSTI ID:: 1544365

Alternate ID(s):: OSTI ID: 1399297

Journal Information:: Physical Review Letters, Vol. 119, Issue 15; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 44 works

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Mirror Protected Multiple Nodal Line Semimetals and Material Realization Ma, Da-Shuai; Zhou, Jianhui; Fu, Botao arXiv https://doi.org/10.48550/arxiv.1804.06960	text	January 2018
Spindle Nodal Chain in Three-Dimensional alpha' Boron Gao, Yan; Xie, Yuee; Chen, Yuanping arXiv https://doi.org/10.48550/arxiv.1804.10542	text	January 2018
Nodal-chain network, intersecting nodal rings and triple points coexisting in nonsymmorphic Ba3Si4 Cai, Jin; Xie, Yuee; Chang, Po-Yao arXiv https://doi.org/10.48550/arxiv.1805.01099	text	January 2018
Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry Yu, Zhi-Ming; Wu, Weikang; Sheng, Xian-Lei arXiv https://doi.org/10.48550/arxiv.1807.02659	text	January 2018
Topological quantum quench dynamics carrying arbitrary Hopf and second-Chern numbers Ezawa, Motohiko arXiv https://doi.org/10.48550/arxiv.1808.08069	text	January 2018
Doubling Theorem and Boundary States of Five-Dimensional Weyl Semimetal Chen, Jing-Yuan; Lian, Biao; Zhang, Shou-Cheng arXiv https://doi.org/10.48550/arxiv.1812.09586	text	January 2018
New topological invariants in non-Hermitian systems Ghatak, Ananya; Das, Tanmoy arXiv https://doi.org/10.48550/arxiv.1902.07972	text	January 2019
Cyclotron orbit knot and tunable-field quantum Hall effect Zhang, Yi arXiv https://doi.org/10.48550/arxiv.1905.02192	text	January 2019
Design triple points, nexus points and related topological phases by stacking monolayers Xie, Yuee; Gong, Cheng; Zhou, Jun arXiv https://doi.org/10.48550/arxiv.1908.09467	text	January 2019
The study of magnetic topological semimetals by first principles calculations Zou, Jinyu; He, Zhuoran; Xu, Gang arXiv https://doi.org/10.48550/arxiv.1909.11999	text	January 2019