IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-52156-1.html
   My bibliography  Save this article

Topological superconductivity from unconventional band degeneracy with conventional pairing

Author

Listed:
  • Zhongyi Zhang

    (Hong Kong University of Science and Technology
    Chinese Academy of Sciences
    University of Chinese Academy of Sciences)

  • Zhenfei Wu

    (University of Florida)

  • Chen Fang

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

  • Fu-chun Zhang

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

  • Jiangping Hu

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

  • Yuxuan Wang

    (University of Florida)

  • Shengshan Qin

    (Beijing Institute of Technology)

Abstract

We present a new scheme for Majorana modes in systems with nonsymmorphic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be intrinsic or induced by proximity effect, topological superconductivity and Majorana modes can be obtained. We illustrate this outcome in a system which respects the space group P4/nmm and features a fourfold-degenerate fermionic mode at (π, π) in the Brillouin zone. We show that in the presence of conventional superconductivity, different types of topological superconductivity, i.e., first-order and second-order topological superconductivity, with coexisting fragile Wannier obstruction in the latter case, can be generated in accordance with the different types of magnetic orders; Majorana modes are shown to exist on the boundary, at the corner and in the vortices. To further demonstrate the effectiveness of our approach, another example related to the space group P4/ncc based on this scheme is also provided. Our study offers insights into constructing topological superconductors based on bulk energy bands and conventional superconductivity and helps to find new material candidates and design new platforms for realizing Majorana modes.

Suggested Citation

  • Zhongyi Zhang & Zhenfei Wu & Chen Fang & Fu-chun Zhang & Jiangping Hu & Yuxuan Wang & Shengshan Qin, 2024. "Topological superconductivity from unconventional band degeneracy with conventional pairing," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-52156-1
    DOI: 10.1038/s41467-024-52156-1
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-52156-1
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-024-52156-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Zhida Song & Chen Fang & Yang Qi, 2020. "Real-space recipes for general topological crystalline states," Nature Communications, Nature, vol. 11(1), pages 1-14, December.
    4. 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.
    5. Meng Li & Geng Li & Lu Cao & Xingtai Zhou & Xiancheng Wang & Changqing Jin & Ching-Kai Chiu & Stephen J. Pennycook & Ziqiang Wang & Hong-Jun Gao, 2022. "Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs," Nature, Nature, vol. 606(7916), pages 890-895, June.
    6. 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.
    7. Lingyuan Kong & Lu Cao & Shiyu Zhu & Michał Papaj & Guangyang Dai & Geng Li & Peng Fan & Wenyao Liu & Fazhi Yang & Xiancheng Wang & Shixuan Du & Changqing Jin & Liang Fu & Hong-Jun Gao & Hong Ding, 2021. "Majorana zero modes in impurity-assisted vortex of LiFeAs superconductor," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    8. S. Avci & O. Chmaissem & J.M. Allred & S. Rosenkranz & I. Eremin & A.V. Chubukov & D.E. Bugaris & D.Y. Chung & M.G. Kanatzidis & J.-P Castellan & J.A. Schlueter & H. Claus & D.D. Khalyavin & P. Manuel, 2014. "Magnetically driven suppression of nematic order in an iron-based superconductor," Nature Communications, Nature, vol. 5(1), pages 1-6, September.
    9. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Jonah Herzog-Arbeitman & B. Andrei Bernevig & Zhi-Da Song, 2024. "Interacting topological quantum chemistry in 2D with many-body real space invariants," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    4. Lei Chen & Fang Xie & Shouvik Sur & Haoyu Hu & Silke Paschen & Jennifer Cano & Qimiao Si, 2024. "Emergent flat band and topological Kondo semimetal driven by orbital-selective correlations," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. Fa-Jie Wang & Zhen-Yu Xiao & Raquel Queiroz & B. Andrei Bernevig & Ady Stern & Zhi-Da Song, 2024. "Anderson critical metal phase in trivial states protected by average magnetic crystalline symmetry," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    6. Robert-Jan Slager & Adrien Bouhon & F. Nur Ünal, 2024. "Non-Abelian Floquet braiding and anomalous Dirac string phase in periodically driven systems," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    7. M. dos Santos Dias & N. Biniskos & F. J. dos Santos & K. Schmalzl & J. Persson & F. Bourdarot & N. Marzari & S. Blügel & T. Brückel & S. Lounis, 2023. "Topological magnons driven by the Dzyaloshinskii-Moriya interaction in the centrosymmetric ferromagnet Mn5Ge3," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    8. Sungjoon Park & Yoonseok Hwang & Hong Chul Choi & Bohm-Jung Yang, 2021. "Topological acoustic triple point," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    9. Wenting Cheng & Alexander Cerjan & Ssu-Ying Chen & Emil Prodan & Terry A. Loring & Camelia Prodan, 2023. "Revealing topology in metals using experimental protocols inspired by K-theory," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    10. Lizhen Lu & Kun Ding & Emanuele Galiffi & Xikui Ma & Tianyu Dong & J. B. Pendry, 2021. "Revealing topology with transformation optics," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    11. 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.
    12. Florian Allein & Adamantios Anastasiadis & Rajesh Chaunsali & Ian Frankel & Nicholas Boechler & Fotios K. Diakonos & Georgios Theocharis, 2023. "Strain topological metamaterials and revealing hidden topology in higher-order coordinates," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    13. Jinyu Liu & Yinong Zhou & Sebastian Yepez Rodriguez & Matthew A. Delmont & Robert A. Welser & Triet Ho & Nicholas Sirica & Kaleb McClure & Paolo Vilmercati & Joseph W. Ziller & Norman Mannella & Javie, 2024. "Controllable strain-driven topological phase transition and dominant surface-state transport in HfTe5," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    14. Lu Cao & Wenyao Liu & Geng Li & Guangyang Dai & Qi Zheng & Yuxin Wang & Kun Jiang & Shiyu Zhu & Li Huang & Lingyuan Kong & Fazhi Yang & Xiancheng Wang & Wu Zhou & Xiao Lin & Jiangping Hu & Changqing J, 2021. "Two distinct superconducting states controlled by orientations of local wrinkles in LiFeAs," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    15. Chunyu Guo & A. Alexandradinata & Carsten Putzke & Amelia Estry & Teng Tu & Nitesh Kumar & Feng-Ren Fan & Shengnan Zhang & Quansheng Wu & Oleg V. Yazyev & Kent R. Shirer & Maja D. Bachmann & Hailin Pe, 2021. "Temperature dependence of quantum oscillations from non-parabolic dispersions," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    16. Ilia Komissarov & Tobias Holder & Raquel Queiroz, 2024. "The quantum geometric origin of capacitance in insulators," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    17. N. Wagner & L. Crippa & A. Amaricci & P. Hansmann & M. Klett & E. J. König & T. Schäfer & D. Di Sante & J. Cano & A. J. Millis & A. Georges & G. Sangiovanni, 2023. "Mott insulators with boundary zeros," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    18. Weixuan Zhang & Fengxiao Di & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2023. "Hyperbolic band topology with non-trivial second Chern numbers," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    19. Hemian Yi & Lun-Hui Hu & Yi-Fan Zhao & Ling-Jie Zhou & Zi-Jie Yan & Ruoxi Zhang & Wei Yuan & Zihao Wang & Ke Wang & Danielle Reifsnyder Hickey & Anthony R. Richardella & John Singleton & Laurel E. Win, 2023. "Dirac-fermion-assisted interfacial superconductivity in epitaxial topological-insulator/iron-chalcogenide heterostructures," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    20. Abdulhakim Bake & Qi Zhang & Cong Son Ho & Grace L. Causer & Weiyao Zhao & Zengji Yue & Alexander Nguyen & Golrokh Akhgar & Julie Karel & David Mitchell & Zeljko Pastuovic & Roger Lewis & Jared H. Col, 2023. "Top-down patterning of topological surface and edge states using a focused ion beam," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-52156-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.