2013/04/17 by L. B. Shao, Z. D. Wang, Shao, L. B. +9
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Superconductivity (cond-mat.supr-con) #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.1304.4726
5 pages, 4 figures
arxiv created 2013/05/03 · arxiv updated 2013/05/06
We propose to realize Majorana fermions (MFs) on an edge of a two-dimensional topological insulator in the proximity with s-wave superconductors and in the presence of transverse exchange field h. It is shown that there appear a pair of MFs localized at two junctions and that a reverse in direction of h can lead to permutation of two MFs. With decreasing h, the MF states can either be fused or form one Dirac fermion on the π-junctions, exhibiting a topological phase transition. This characteristic can be used to detect physical states of MFs when they are transformed into Dirac fermions localized on the π-junction. A condition of decoupling two MFs is also given.