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May 25, 2026
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Anomalous Josephson Current via Majorana Bound States in Topological Insulators

Physical Review B. 2011. № 106. С. 077003.
P. A. Ioselevich, M. V. Feigelman

We propose a setup involving Majorana bound states (MBS) hosted by a vortex on a superconducting surface of a 3D topological insulator (TI). We consider a narrow channel drilled across a TI slab with both sides covered by s-wave superconductor. In the presence of a vortex pinned to such a channel, it acts as a ballistic nanowire connecting the superconducting surfaces, with a pair of MBS localized in it. The energies of the MBS possess a 4π-periodic dependence on the superconductive phase difference φ between the surfaces. It results in the appearance of an anomalous term in the current-phase relation Ia(φ) for the supercurrent flowing along the channel between the superconductive surfaces. We have calculated the shape of the 4π-periodic function Ia(φ), as well as the dependence of its amplitude on temperature and system parameters.

Research target: Physics
Language: Russian
DOI
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Keywords: Josephson effectMajorana fermiontopological superconductors
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