Current distributions in stripe Majorana junctions

TL;DR

This paper investigates how magnetic fields influence current and density distributions in 2D stripe junctions between normal and Majorana nanowires, revealing symmetry changes and spin effects associated with Majorana modes.

Contribution

It provides a detailed analysis of current, density, and spin distributions in Majorana junctions under various magnetic field orientations, highlighting the impact of Majorana modes on these properties.

Findings

Charge current symmetry shifts across the Majorana phase transition.

Majorana modes induce opposite spin accumulations and spin currents.

Magnetic field orientation critically affects current distribution symmetry.

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.