Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes

Details Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes

2011-12-30

arxiv.org/abs/1201.0159v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

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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