Correlations between Majorana Fermions Through a Superconductor

A. A. Zyuzin, Diego Rainis, Jelena Klinovaja, and Daniel Loss
Phys. Rev. Lett. 111, 056802 – Published 30 July 2013
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Abstract

We consider a model of ballistic quasi-one-dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been shown to give rise to a topological superconducting state in the wire, characterized by a pair of Majorana-fermion (MF) bound states formed at the two ends of the wire. Here, we demonstrate that besides the well-known direct-overlap-induced energy splitting, the two MF bound states may hybridize via elastic tunneling processes through virtual quasiparticle states in the SC, giving rise to an additional energy splitting between MF states from the same as well as from different wires.

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  • Received 21 May 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.056802

© 2013 American Physical Society

Authors & Affiliations

A. A. Zyuzin, Diego Rainis, Jelena Klinovaja, and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

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Issue

Vol. 111, Iss. 5 — 2 August 2013

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