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Cited by 84Topological Materials and PhenomenaAdvanced Condensed Matter Physics2D Materials and Applications

Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry

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Murakami, Shuichi, Hirayama, Motoaki, Okugawa, Ryo, Miyake, Takashi·2017·Science Advances
DOI 10.1126/sciadv.1602680PMC PMC5429037
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Abstract

Closing of a band gap of inversion-asymmetric semiconductors always leads either to a Weyl semimetal or to a nodal-line semimetal

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Crossref · 10.1126/sciadv.1602680

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  • The band closing transition of a semiconductor lacking inversion symmetry always proceeds through a gapless phase, consisting either of Weyl points or nodal lines.

    “It has been recently argued that the band closing transition of a semiconductor lacking inversion symmetry always proceeds through a gapless phase, consisting either of Weyl points or nodal lines (Murakami et al. , 2017).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Murakami et al. , 2017

    The Introduction states that gap closing leads to either a Weyl semimetal or a nodal-line semimetal, and the Results reach the same conclusion for inversion-asymmetric insulators with time-reversal symmetry. The claim omits the paper’s stated restriction to three-dimensional, spinful, time-reversal-symmetric systems with nonzero spin-orbit coupling, so its unqualified “always” is broader than the result. (LLM, conf=0.88)

    Experimental — accuracy not yet measured

  • The symmetry of the space group and the wavevector where the gap closes uniquely determine whether the material becomes a Weyl semimetal or a nodal-line semimetal.

    “The symmetry of the space group and the wavevector where the gap closes uniquely determine which possibility occurs (Murakami et al. , 2017).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Murakami et al., 2017

    The Results (‘One hundred thirty-eight inversion-asymmetric space groups’; page not provided) identify Weyl and nodal-line semimetals as outcomes of gap closing in inversion-asymmetric insulators with time-reversal symmetry. But the Results (‘Various cases of gap-closing events classified by symmetry’; page not provided) show that at a mirror-symmetric wavevector, the outcome also depends on the valence and conduction bands’ representations: matching mirror eigenvalues produce Weyl nodes, while different eigenvalues produce a nodal line. Space-group symmetry and wavevector alone therefore do not uniquely determine which occurs. (LLM, conf=0.88)

    Experimental — accuracy not yet measured

  • A particularly straightforward mechanism for creation of a WSM phase occurs generically in the band inversion transition between a trivial and topological insulator if the material's space group breaks inversion symmetry.

    “As discussed above, a particularly straightforward mechanism for creation of a WSM phase occurs generically in the band inversion transition between a trivial and topological insulator if the material's space group breaks inversion symmetry (Murakami, 2007; Murakami et al. , 2017).”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Murakami et al., 2017

  • On approach to the band gap inversion transition, the material becomes either a Weyl semimetal or a nodal-line semimetal for an extended region of parameter space, but there is no direct transition between the two insulating states.

    “On the approach to the band gap inversion transition, the material becomes either a (i) Weyl semimetal or a (ii) nodal-line semimetal for an extended region of parameter space, but there is no direct transition between the two insulating states.”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Murakami et al., 2017

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Research works printed but not linked: 36

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Cited by

Sorted by citations

  • Weyl and Dirac semimetals in three-dimensional solids

    Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528 · see citing works

    “It has been recently argued that the band closing transition of a semiconductor lacking inversion symmetry always proceeds through a gapless phase, consisting either of Weyl points or nodal lines (Murakami et al., 2017).”
    Background

  • Weyl and Dirac Semimetals in Three Dimensional Solids

    Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv

    “It has been recently argued that the band closing transition of a semiconductor lacking inversion symmetry always proceeds through a gapless phase, consisting either of Weyl points or nodal lines (Murakami et al., 2017).”
    Background

Authors
Murakami, S., Hirayama, M., Okugawa, R., & Miyake, T.
Affiliations
  • Tokyo Institute of Technology (JP)
  • National Institute of Advanced Industrial Science and Technology (JP)
Corresponding author
Murakami, Shuichi
ORCID
Venue
Science Advances
Publisher
American Association for the Advancement of Science (AAAS)
Published
2017-05-05
Volume
3
Issue
5
Pages
e1602680-e1602680
ISSN
2375-2548 (ISSN-L)
DOI
10.1126/sciadv.1602680
PMC
PMC5429037
OpenAlex
W2539769698
Cited by
84
References
8
Citations by year
2026: 2 · 2025: 7 · 2024: 7 · 2023: 9 · 2022: 14 · 2021: 8 · 2020: 7 · 2019: 10 · 2018: 14 · 2017: 6
FWCI
4.96
Type
journal article
Language
en
Open access
Licence
cc-by-nc
Locations
  • Science Advances (publishedVersion, cc-by-nc)
  • PubMed Central (publishedVersion, cc-by-nc)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Tokyo Tech Research Repository (Tokyo Institute of Technology) (submittedVersion)
  • arXiv (Cornell University)
  • Bulletin of the American Physical Society
Funders
Ministry of Education, Culture, Sports, Science, and Technology (ID0EM2AG17232, 26287062, ID0E5BBG17233, 26103006, ID0ESIBG17234, 16J08552, ID0ERMBG17235, Elements Strategy Initiative to Form Core Research Center (TIES))
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
  • Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
Keywords
topological semimetals, band gap closing, Weyl semimetals, nodal-line semimetals, time-reversal symmetry, space groups, band inversion, topological phase transition

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