2010/12/31 by Jay D. Sau, D. J. Clarke, S. Tewari · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.84.094505
published as Phys. Rev. B 84, 094505 (2011) · Final version with 8 pages, 5 figures. A companion paper, arXiv:1012.0296, discusses Majorana exchange through a general junction of three wire segments
arxiv created 2011/09/27 · arxiv updated 2011/09/29
Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire. However, the non-Abelian exchange statistics of Majorana fermions is difficult verify because of the one-dimensional topology of such wires. In this paper we propose a scheme to transport Majorana fermions between the ends of different wires using tunneling, which is shown to be controllable by gate voltages. Such tunneling-generated hops of Majorana fermions can be used to exchange the Majorana fermions. The exchange process thus obtained is described by a non-Abelian braid operator that is uniquely determined by the well-controlled microscopic tunneling parameters.