Quasi-particle current in planar Majorana nanowires

TL;DR

This paper investigates the behavior of quasi-particle currents in planar Majorana nanowires, revealing how magnetic field orientation influences current circulation patterns around Majorana states.

Contribution

It provides a detailed analysis of how magnetic field components affect quasi-particle current flow in Majorana nanowires, highlighting the impact of perpendicular magnetic fields.

Findings

Current flows in circular trajectories without preferred orientation when no perpendicular magnetic field is applied.

Perpendicular magnetic fields induce circulating quasi-particle currents around Majorana density peaks.

Magnetic field orientation determines the circulation direction of the quasi-particle current.

Abstract

We calculate the local quasi-particle current of a Majorana state in a planar hybrid (superconductor-semiconductor) nanowire. In absence of perpendicular components of the magnetic field the current flows in circular trajectories without a preferred orientation. On the other hand, when a perpendicular component of the magnetic field is present the quasi-particle current circulates surrounding the Majorana density peak with an orientation established by the magnetic field.