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

Xiang-Nan Yuan, Yue Xie and Guo-Qiao Zha ()
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Xiang-Nan Yuan: Shanghai University
Yue Xie: Shanghai University
Guo-Qiao Zha: Shanghai University

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 10, 1-6

Abstract: 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

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00800-6

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