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Majorana fermions at the edge of superconducting islands

R. S. Akzyanov, A. L. Rakhmanov, A. V. Rozhkov, Franco Nori

DOI 10.1103/PhysRevB.92.075432 · Physical Review B

T1

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Abstract

We investigate the properties of electron states localized at the edge of a superconducting island placed on the surface of a topological insulator in a magnetic field. In such systems, Majorana fermions emerge if an odd number of vortices (or odd multivortex vorticity) is hosted by the island; otherwise, no Majorana states exist. Majorana states emerge in pairs: one state is localized near the vortex core, and another at the island edge. We analyze in detail the robustness of Majorana fermions at the edge of the island threaded by a single vortex. If the system parameters are optimized, the energy gap between the Majorana fermion and the first excited state at the edge is of the order of the superconducting gap induced on the surface of the topological insulator. The stability of the Majorana fermion state against a variation of the gate voltage and its sensitivity to the magnetic field allows one to experimentally distinguish the edge Majorana fermion from conventional Dirac fermions.

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FormulaReported Tc (K)Pressure (GPa)Type
Pb

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—Pressure not reportedunknown
Nb

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

—Pressure not reportedunknown

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