Electric-field-induced Majorana Fermions in Armchair Carbon Nanotubes

Jelena Klinovaja, Suhas Gangadharaiah, and Daniel Loss
Phys. Rev. Lett. 108, 196804 – Published 8 May 2012
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Abstract

We consider theoretically an armchair carbon nanotube (CNT) in the presence of an electric field and in contact with an s-wave superconductor. We show that the proximity effect opens up superconducting gaps in the CNT of different strengths for the exterior and interior branches of the two Dirac points. For strong proximity induced superconductivity the interior gap can be of the p-wave type, while the exterior gap can be tuned by the electric field to be of the s-wave type. Such a setup supports a single Majorana bound state at each end of the CNT. In the case of a weak proximity induced superconductivity, the gaps in both branches are of the p-wave type. However, the temperature can be chosen in such a way that the smallest gap is effectively closed. Using renormalization group techniques we show that the Majorana bound states exist even after taking into account electron-electron interactions.

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  • Received 30 December 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.196804

© 2012 American Physical Society

Authors & Affiliations

Jelena Klinovaja, Suhas Gangadharaiah, and Daniel Loss

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

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Issue

Vol. 108, Iss. 19 — 11 May 2012

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