%0 Journal Article
%T Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
%A Roni Ilan
%A Jens H. Bardarson
%A H. -S. Sim
%A Joel E. Moore
%J Physics
%D 2013
%I arXiv
%R 10.1088/1367-2630/16/5/053007
%X We consider Josephson junctions on surfaces of three dimensional topological insulator nanowires. We find that in the presence of a parallel magnetic field, short junctions on nanowires show signatures of a perfectly transmitted mode capable of supporting Majorana fermions. Such signatures appear in the current-phase relation in the presence or absence of the fermion parity anomaly, and are most striking when considering the critical current as a function of flux \Phi, which exhibits a peak at \Phi=h/2e. The peak sharpens in the presence of disorder at low but finite chemical potentials, and can be easily disentangled from weak-antilocalization effects. The peak also survives at small but finite temperatures, and represents a realistic and robust hallmark for perfect transmission and the emergence of Majorana physics inside the wire.
%U http://arxiv.org/abs/1305.2210v1