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Spin-resolved topology and partial axion angles in three-dimensional insulators

Author

Listed:
  • Kuan-Sen Lin

    (University of Illinois at Urbana-Champaign
    University of California)

  • Giandomenico Palumbo

    (Dublin Institute for Advanced Studies)

  • Zhaopeng Guo

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

  • Yoonseok Hwang

    (University of Illinois at Urbana-Champaign)

  • Jeremy Blackburn

    (State University of New York at Binghamton)

  • Daniel P. Shoemaker

    (University of Illinois at Urbana-Champaign
    University of Illinois at Urbana-Champaign)

  • Fahad Mahmood

    (University of Illinois at Urbana-Champaign
    University of Illinois at Urbana-Champaign)

  • Zhijun Wang

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

  • Gregory A. Fiete

    (Northeastern University
    Massachusetts Institute of Technology)

  • Benjamin J. Wieder

    (Northeastern University
    Massachusetts Institute of Technology
    Université Paris-Saclay, CEA, CNRS)

  • Barry Bradlyn

    (University of Illinois at Urbana-Champaign)

Abstract

Symmetry-protected topological crystalline insulators (TCIs) have primarily been characterized by their gapless boundary states. However, in time-reversal- ( $${{{{{{{\mathcal{T}}}}}}}}$$ T -) invariant (helical) 3D TCIs—termed higher-order TCIs (HOTIs)—the boundary signatures can manifest as a sample-dependent network of 1D hinge states. We here introduce nested spin-resolved Wilson loops and layer constructions as tools to characterize the intrinsic bulk topological properties of spinful 3D insulators. We discover that helical HOTIs realize one of three spin-resolved phases with distinct responses that are quantitatively robust to large deformations of the bulk spin-orbital texture: 3D quantum spin Hall insulators (QSHIs), “spin-Weyl” semimetals, and $${{{{{{{\mathcal{T}}}}}}}}$$ T -doubled axion insulator (T-DAXI) states with nontrivial partial axion angles indicative of a 3D spin-magnetoelectric bulk response and half-quantized 2D TI surface states originating from a partial parity anomaly. Using ab-initio calculations, we demonstrate that β-MoTe2 realizes a spin-Weyl state and that α-BiBr hosts both 3D QSHI and T-DAXI regimes.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-44762-w
    DOI: 10.1038/s41467-024-44762-w
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    References listed on IDEAS

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    Cited by:

    1. Shuai Li & Ming Gong & Yu-Hang Li & Hua Jiang & X. C. Xie, 2024. "High spin axion insulator," Nature Communications, Nature, vol. 15(1), pages 1-8, December.

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