中国物理B ›› 2023, Vol. 32 ›› Issue (1): 17401-017401.doi: 10.1088/1674-1056/ac6ee7

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Majorana zero modes induced by skyrmion lattice

Dong-Yang Jing(靖东洋)1,2, Huan-Yu Wang(王寰宇)1,2, Wen-Xiang Guo(郭文祥)4,5, and Wu-Ming Liu(刘伍明)1,2,3,†   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
    3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
    4 TIPC-LNE Joint Laboratory on Cryogenic Metrology Science and Technology, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China;
    5 CAS Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China
  • 收稿日期:2022-03-21 修回日期:2022-05-01 接受日期:2022-05-12 出版日期:2022-12-08 发布日期:2022-12-20
  • 通讯作者: Wu-Ming Liu E-mail:wliu@iphy.ac.cn
  • 基金资助:
    Project supported by the National Key R&D Program of China (Grant Nos. 2021YFA1400900, 2021YFA0718300, and 2021YFA1400243) and the National Natural Science Foundation of China (Grant No. 61835013).

Majorana zero modes induced by skyrmion lattice

Dong-Yang Jing(靖东洋)1,2, Huan-Yu Wang(王寰宇)1,2, Wen-Xiang Guo(郭文祥)4,5, and Wu-Ming Liu(刘伍明)1,2,3,†   

  1. 1 Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
    2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
    3 Songshan Lake Materials Laboratory, Dongguan 523808, China;
    4 TIPC-LNE Joint Laboratory on Cryogenic Metrology Science and Technology, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China;
    5 CAS Key Laboratory of Cryogenics, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2022-03-21 Revised:2022-05-01 Accepted:2022-05-12 Online:2022-12-08 Published:2022-12-20
  • Contact: Wu-Ming Liu E-mail:wliu@iphy.ac.cn
  • Supported by:
    Project supported by the National Key R&D Program of China (Grant Nos. 2021YFA1400900, 2021YFA0718300, and 2021YFA1400243) and the National Natural Science Foundation of China (Grant No. 61835013).

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摘要： One-dimensional s-wave superconductor with spin-orbit coupling is a platform for the realization of Majorana zero modes. The spin-exchange with the magnetic skyrmion lattice can induce spin-orbit coupling in a s-wave superconductor system and the effects are different from the constant spin-orbit coupling. The strength of the effective spin-orbit coupling as well as the rich topoloigcal phase diagram are directly connected to the radius of the skyrmion lattice R. We obtain the rich topological phase diagram of this system with different skyrmion lattice radii by numerically evaluating the spectrum of the system under the periodic boundary condition, and we also find the Majorana zero modes under the open boundary condition to verify the bulk-edge correspondence.

关键词: topological superconductor, Majorana zero mode, spin-orbit coupling

Abstract: One-dimensional s-wave superconductor with spin-orbit coupling is a platform for the realization of Majorana zero modes. The spin-exchange with the magnetic skyrmion lattice can induce spin-orbit coupling in a s-wave superconductor system and the effects are different from the constant spin-orbit coupling. The strength of the effective spin-orbit coupling as well as the rich topoloigcal phase diagram are directly connected to the radius of the skyrmion lattice R. We obtain the rich topological phase diagram of this system with different skyrmion lattice radii by numerically evaluating the spectrum of the system under the periodic boundary condition, and we also find the Majorana zero modes under the open boundary condition to verify the bulk-edge correspondence.

Key words: topological superconductor, Majorana zero mode, spin-orbit coupling

中图分类号:  (Inhomogeneous superconductors and superconducting systems, including electronic inhomogeneities)

  • 74.81.-g
03.65.Vf (Phases: geometric; dynamic or topological) 31.15.aj (Relativistic corrections, spin-orbit effects, fine structure; hyperfine structure)