Cited by 756Topological Materials and PhenomenaGraphene research and applications2D Materials and Applications

Topological node-line semimetal in three-dimensional graphene networks

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Weng, Hongming, Liang, Yunye, Xu, Qiunan, Yu, Rui, Fang, Zhong, Dai, Xi, Kawazoe, Yoshiyuki·2015·Physical Review B

Abstract

Graphene, a two-dimensional (2D) carbon sheet, acquires many of its amazing properties from the Dirac point nature of its electronic structures with negligible spin-orbit coupling. Extending to 3D space, graphene networks with negative curvature, called Mackay-Terrones crystals (MTCs), have been proposed and experimentally explored, yet their topological properties have yet to be discovered. Based on the first-principle calculations, we report an all-carbon MTC with topologically nontrivial electronic states by exhibiting node lines in bulk. When the node lines are projected onto surfaces to form circles, ``drumhead''-like flat surface bands nestled inside of the circles are formed. The bulk node line can evolve into a 3D Dirac point in the absence of inversion symmetry, the existence of which has been shown to be plausible in recent experiments.

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Crossref · 10.1103/physrevb.92.045108

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  • ZrTe5 is believed to be close to a band touching transition and may be very sensitive to materials preparation.

    “This system is believed to be close to a band touching transition (Weng et al. , 2014) and may be very sensitive to materials preparation.”

    From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Weng et al. , 2014

    The Results (p. 3) and Conclusion (p. 10) concern band crossings in all-carbon Mackay–Terrones crystals, not ZrTe5. Searches for ZrTe5, a band-touching transition, and sensitivity to materials preparation found no passage addressing the attributed claim. (LLM, conf=0.77)

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Authors
Weng, H., Liang, Y., Xu, Q., Yu, R., Fang, Z., Dai, X., & Kawazoe, Y.
Affiliations
  • Chinese Academy of Sciences (CN)
  • Tohoku University (JP)
  • National Institute for Materials Science (JP)
  • Russian Academy of Sciences (RU)
Venue
Physical Review B
Published
2015-07-08
Volume
92
Issue
4
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1800890817
Cited by
756
References
7
Citations by year
2026: 29 · 2025: 43 · 2024: 47 · 2023: 57 · 2022: 64 · 2021: 78 · 2020: 88 · 2019: 84 · 2018: 105 · 2017: 89 · 2016: 58 · 2015: 14
FWCI
45.07
Type
journal article
Language
en
Open access
Locations
  • Physical Review B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Rare & Special e-Zone (The Hong Kong University of Science and Technology) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Natural Science Foundation of China
  • Chinese Academy of Sciences
  • Tohoku University
  • Core Research for Evolutional Science and Technology, Japan Science and Technology Agency
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
  • Physical Sciences › Materials Science › Materials Chemistry › 2D Materials and Applications
Keywords
three-dimensional graphene network, drumhead surface states, negative curvature, topological electronic states, inversion symmetry breaking

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