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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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    as
    1. Motoi Kimata & Hua Chen & Kouta Kondou & Satoshi Sugimoto & Prasanta K. Muduli & Muhammad Ikhlas & Yasutomo Omori & Takahiro Tomita & Allan. H. MacDonald & Satoru Nakatsuji & Yoshichika Otani, 2019. "Magnetic and magnetic inverse spin Hall effects in a non-collinear antiferromagnet," Nature, Nature, vol. 565(7741), pages 627-630, January.
    2. Fei-Ting Huang & Seong Joon Lim & Sobhit Singh & Jinwoong Kim & Lunyong Zhang & Jae-Wook Kim & Ming-Wen Chu & Karin M. Rabe & David Vanderbilt & Sang-Wook Cheong, 2019. "Polar and phase domain walls with conducting interfacial states in a Weyl semimetal MoTe2," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    3. Barry Bradlyn & L. Elcoro & Jennifer Cano & M. G. Vergniory & Zhijun Wang & C. Felser & M. I. Aroyo & B. Andrei Bernevig, 2017. "Topological quantum chemistry," Nature, Nature, vol. 547(7663), pages 298-305, July.
    4. Yuanfeng Xu & Luis Elcoro & Zhi-Da Song & Benjamin J. Wieder & M. G. Vergniory & Nicolas Regnault & Yulin Chen & Claudia Felser & B. Andrei Bernevig, 2020. "High-throughput calculations of magnetic topological materials," Nature, Nature, vol. 586(7831), pages 702-707, October.
    5. Tiantian Zhang & Yi Jiang & Zhida Song & He Huang & Yuqing He & Zhong Fang & Hongming Weng & Chen Fang, 2019. "Catalogue of topological electronic materials," Nature, Nature, vol. 566(7745), pages 475-479, February.
    6. Timothy H. Hsieh & Hsin Lin & Junwei Liu & Wenhui Duan & Arun Bansil & Liang Fu, 2012. "Topological crystalline insulators in the SnTe material class," Nature Communications, Nature, vol. 3(1), pages 1-7, January.
    7. Zhida Song & Tiantian Zhang & Zhong Fang & Chen Fang, 2018. "Quantitative mappings between symmetry and topology in solids," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
    8. Feng Tang & Hoi Chun Po & Ashvin Vishwanath & Xiangang Wan, 2019. "Comprehensive search for topological materials using symmetry indicators," Nature, Nature, vol. 566(7745), pages 486-489, February.
    9. Anyuan Gao & Yu-Fei Liu & Chaowei Hu & Jian-Xiang Qiu & Christian Tzschaschel & Barun Ghosh & Sheng-Chin Ho & Damien Bérubé & Rui Chen & Haipeng Sun & Zhaowei Zhang & Xin-Yue Zhang & Yu-Xuan Wang & Na, 2021. "Layer Hall effect in a 2D topological axion antiferromagnet," Nature, Nature, vol. 595(7868), pages 521-525, July.
    10. Hoi Chun Po & Ashvin Vishwanath & Haruki Watanabe, 2017. "Erratum: Symmetry-based indicators of band topology in the 230 space groups," Nature Communications, Nature, vol. 8(1), pages 1-1, December.
    11. A. R. Mellnik & J. S. Lee & A. Richardella & J. L. Grab & P. J. Mintun & M. H. Fischer & A. Vaezi & A. Manchon & E.-A. Kim & N. Samarth & D. C. Ralph, 2014. "Spin-transfer torque generated by a topological insulator," Nature, Nature, vol. 511(7510), pages 449-451, July.
    12. Motoi Kimata & Hua Chen & Kouta Kondou & Satoshi Sugimoto & Prasanta K. Muduli & Muhammad Ikhlas & Yasutomo Omori & Takahiro Tomita & Allan. H. MacDonald & Satoru Nakatsuji & Yoshichika Otani, 2019. "Publisher Correction: Magnetic and magnetic inverse spin Hall effects in a non-collinear antiferromagnet," Nature, Nature, vol. 566(7742), pages 4-4, February.
    13. M. G. Vergniory & L. Elcoro & Claudia Felser & Nicolas Regnault & B. Andrei Bernevig & Zhijun Wang, 2019. "A complete catalogue of high-quality topological materials," Nature, Nature, vol. 566(7745), pages 480-485, February.
    14. 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.
    15. Luis Elcoro & Benjamin J. Wieder & Zhida Song & Yuanfeng Xu & Barry Bradlyn & B. Andrei Bernevig, 2021. "Magnetic topological quantum chemistry," Nature Communications, Nature, vol. 12(1), pages 1-10, December.
    16. Hoi Chun Po & Ashvin Vishwanath & Haruki Watanabe, 2017. "Symmetry-based indicators of band topology in the 230 space groups," Nature Communications, Nature, vol. 8(1), pages 1-9, December.
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