Anomalous Josephson current via Majorana bound states in topological insulators

Details Anomalous Josephson current via Majorana bound states in topological insulators Anomalous Josephson current via Majorana bound states in topological insulators

2010-12-02

arxiv.org/abs/1012.0407v1

Phys. Rev. Lett. 106, 077003 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures

Scientific paper

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 4\pi-periodic dependence on the superconductive phase difference \phi between the surfaces. It results in the appearence of an anomalous term in the current-phase relation, I_a(\phi) for the supercurrent flowing along the channel between the superconductive surfaces. We have calculated the shape of the 4\pi-periodic function I_a(\phi), as well as the dependence of its amplitude on temperature and system parameters.

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