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Strong and fragile topological Dirac semimetals with higher-order Fermi arcs

Author

Listed:
  • Benjamin J. Wieder

    (Princeton University)

  • Zhijun Wang

    (Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Jennifer Cano

    (Stony Brook University
    The Flatiron Institute)

  • Xi Dai

    (Hong Kong University of Science and Technology)

  • Leslie M. Schoop

    (Princeton University)

  • Barry Bradlyn

    (University of Illinois at Urbana-Champaign
    Donostia International Physics Center)

  • B. Andrei Bernevig

    (Princeton University
    Freie Universität Berlin
    Max Planck Institute of Microstructure Physics)

Abstract

Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points themselves, the surface Fermi arcs in Dirac semimetals are not directly related to the bulk Dirac points, raising the question of whether there exists a topological bulk-boundary correspondence for Dirac semimetals. In this work, we discover that strong and fragile topological Dirac semimetals exhibit one-dimensional (1D) higher-order hinge Fermi arcs (HOFAs) as universal, direct consequences of their bulk 3D Dirac points. To predict HOFAs coexisting with topological surface states in solid-state Dirac semimetals, we introduce and layer a spinful model of an s–d-hybridized quadrupole insulator (QI). We develop a rigorous nested Jackiw–Rebbi formulation of QIs and HOFA states. Employing ab initio calculations, we demonstrate HOFAs in both the room- (α) and intermediate-temperature (α″) phases of Cd3As2, KMgBi, and rutile-structure ($$ \beta ^{\prime} $$β′-) PtO2.

Suggested Citation

  • Benjamin J. Wieder & Zhijun Wang & Jennifer Cano & Xi Dai & Leslie M. Schoop & Barry Bradlyn & B. Andrei Bernevig, 2020. "Strong and fragile topological Dirac semimetals with higher-order Fermi arcs," Nature Communications, Nature, vol. 11(1), pages 1-13, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-14443-5
    DOI: 10.1038/s41467-020-14443-5
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    Cited by:

    1. Tian Le & Ruihan Zhang & Changcun Li & Ruiyang Jiang & Haohao Sheng & Linfeng Tu & Xuewei Cao & Zhaozheng Lyu & Jie Shen & Guangtong Liu & Fucai Liu & Zhijun Wang & Li Lu & Fanming Qu, 2024. "Magnetic field filtering of the boundary supercurrent in unconventional metal NiTe2-based Josephson junctions," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    2. Lun-Hui Hu & Rui-Xing Zhang, 2024. "Dislocation Majorana bound states in iron-based superconductors," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    3. Kuan-Sen Lin & Giandomenico Palumbo & Zhaopeng Guo & Yoonseok Hwang & Jeremy Blackburn & Daniel P. Shoemaker & Fahad Mahmood & Zhijun Wang & Gregory A. Fiete & Benjamin J. Wieder & Barry Bradlyn, 2024. "Spin-resolved topology and partial axion angles in three-dimensional insulators," Nature Communications, Nature, vol. 15(1), pages 1-17, December.
    4. Frank Schindler & Stepan S. Tsirkin & Titus Neupert & B. Andrei Bernevig & Benjamin J. Wieder, 2022. "Topological zero-dimensional defect and flux states in three-dimensional insulators," Nature Communications, Nature, vol. 13(1), pages 1-18, December.
    5. Haoran Xue & Z. Y. Chen & Zheyu Cheng & J. X. Dai & Yang Long & Y. X. Zhao & Baile Zhang, 2023. "Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

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