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Majorana bound states and phase transitions in first- and second-order topological superconductors

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  • Xiang-Nan Yuan

    (Shanghai University)

  • Yue Xie

    (Shanghai University)

  • Guo-Qiao Zha

    (Shanghai University)

Abstract

Based on the spin-generalized Bogoliubov–de Gennes theory, we investigate the existence of first- and second-order topological phases in Rashba superconducting ribbon and loop systems. The topological phase transitions driven by the strength of spin-orbit coupling and the spin correlation as well as the temperature are demonstrated. The formation of zero-energy Majorana edge or corner states is highly sensitive to these effects. Due to the modification of the relative strength of competing s- and d-wave pairing symmetries, the number and location of Majorana zero modes in the square loop may be tuned by the introduced spin correlation. Meanwhile, the second-order topological phase and emergent Majorana corner modes can remain robust for finite temperatures. We expect that our theoretical predictions may provide useful information for future experiments. Graphical abstract

Suggested Citation

  • Xiang-Nan Yuan & Yue Xie & Guo-Qiao Zha, 2024. "Majorana bound states and phase transitions in first- and second-order topological superconductors," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-6, October.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:10:d:10.1140_epjb_s10051-024-00800-6
    DOI: 10.1140/epjb/s10051-024-00800-6
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