Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator

Maryam Khezerlou, Hadi Goudarzi () and Samin Asgarifar
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Maryam Khezerlou: Faculty of Science, Urmia University
Hadi Goudarzi: Faculty of Science, Urmia University
Samin Asgarifar: Faculty of Science, Urmia University

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 3, 1-8

Abstract: Abstract Among the potential applications of topological insulators, we theoretically study the coexistence of proximity-induced ferromagnetic and superconducting orders in the surface states of a 3-dimensional topological insulator. The superconducting electron-hole excitations can be significantly affected by the magnetic order induced by a ferromagnet. In one hand, the surface state of the topological insulator, protected by the time-reversal symmetry, creates a spin-triplet and, on the other hand, magnetic order causes to renormalize the effective superconducting gap. We find Majorana mode energy along the ferromagnet/superconductor interface to sensitively depend on the magnitude of magnetization m zfs from superconductor region, and its slope around perpendicular incidence is steep with very low dependency on m zfs . The superconducting effective gap is renormalized by a factor η(m zfs ), and Andreev bound state in ferromagnet-superconductor/ferromagnet/ferromagnet-superconductor (FS/F/FS) Josephson junction is more sensitive to the magnitude of magnetizations of FS and F regions. In particular, we show that the presence of m zfs has a noticeable impact on the gap opening in Andreev bound state, which occurs in finite angle of incidence. This directly results in zero-energy Andreev state being dominant. By introducing the proper form of corresponding Dirac spinors for FS electron-hole states, we find that via the inclusion of m zfs , the Josephson supercurrent is enhanced and exhibits almost abrupt crossover curve, featuring the dominant zero-energy Majorana bound states.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-70596-7

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