How robust are Majorana modes in multiband semiconductor wires?

Details How robust are Majorana modes in multiband semiconductor wires? How robust are Majorana modes in multiband semiconductor wires?

2012-02-22

arxiv.org/abs/1202.5057v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 6 figures

Scientific paper

We study the emergence of Majorana bound states (MBS) in multiband semiconductor wires with Rashba spin-orbit (SO) coupling, proximity coupled to an s-wave superconductor and in the presence of an external magnetic field. We consider long, but \emph{finite}, multiband wires (namely, quasi-1D wires with dimensions $L_x\gg L_y$). Our numerically exact results demonstrate that interband mixing coming from Rashba SO (Rashba mixing) hybridizes Majorana pairs originating from different transversal modes while simultaneously closing the effective gap. Thus, regions were many MBS coexist are effectively trivial owing to Rashba mixing. On the contrary, Majorana physics is robust provided that only one single transversal mode, not necessarily the lowest one, contributes with a Majorana pair. We also find that Majorana physics is fragile with respect to orbital effects induced by any small out-of-plane component of the magnetic field.

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