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

Abstract

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 Co 2MnGa as a candidate. Here, both Hopf link and chainlike bulk band crossings and unconventional topological surface states are identified.

Authors:
 [1];  [2];  [1];  [3];  [1];  [4];  [2];  [2];  [2];  [4];  [1];  [5]
  1. National Univ. of Singapore (Singapore)
  2. Princeton Univ., NJ (United States)
  3. National Sun Yat-sen Univ., Kaohsiung (Taiwan)
  4. Northeastern Univ., Boston, MA (United States)
  5. Princeton Univ., NJ (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1544365
Alternate Identifier(s):
OSTI ID: 1399297
Grant/Contract Number:  
AC02-05CH11231; FG02-07ER46352
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 15; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Chang, Guoqing, Xu, Su-Yang, Zhou, Xiaoting, Huang, Shin-Ming, Singh, Bahadur, Wang, Baokai, Belopolski, Ilya, Yin, Jiaxin, Zhang, Songtian, Bansil, Arun, Lin, Hsin, and Hasan, M. Zahid. Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.119.156401.
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. Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa. United States. doi:10.1103/PhysRevLett.119.156401.
Chang, Guoqing, Xu, Su-Yang, Zhou, Xiaoting, Huang, Shin-Ming, Singh, Bahadur, Wang, Baokai, Belopolski, Ilya, Yin, Jiaxin, Zhang, Songtian, Bansil, Arun, Lin, Hsin, and Hasan, M. Zahid. Fri . "Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa". United States. doi:10.1103/PhysRevLett.119.156401. https://www.osti.gov/servlets/purl/1544365.
@article{osti_1544365,
title = {Topological Hopf and Chain Link Semimetal States and Their Application to Co2MnGa},
author = {Chang, Guoqing and Xu, Su-Yang and Zhou, Xiaoting and Huang, Shin-Ming and Singh, Bahadur and Wang, Baokai and Belopolski, Ilya and Yin, Jiaxin and Zhang, Songtian and Bansil, Arun and Lin, Hsin and Hasan, M. Zahid},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.119.156401},
journal = {Physical Review Letters},
number = 15,
volume = 119,
place = {United States},
year = {2017},
month = {10}
}

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