Current distributions in stripe Majorana junctions

Abstract

We calculate current and density distributions in stripe (2D planar) junctions between normal and Majorana nanowires having a finite ($y$) transverse length. In presence of a magnetic field with vertical and in-plane components, the $y$-symmetry of the charge current distribution in the normal lead changes strongly across the Majorana phase transition: from center-symmetric if a Majorana mode is present to laterally-shifted (as expected by the Hall effect) if the field is tilted such as to destroy the Majorana mode due to the projection rule. We compare quasi-particle and charge distributions of current and density, as well as spin magnetizations. The Majorana mode causes opposite spin accumulations on the junction and the emergence of a spin current.