Majorana states and magnetic orbital motion in planar hybrid nanowires

TL;DR

This paper investigates how orbital effects from off-plane magnetic fields influence Majorana states in planar hybrid nanowires, revealing robust zero modes and detailed phase diagrams relevant for experimental setups.

Contribution

It provides analytical expressions for Majorana phase boundaries considering orbital effects, expanding understanding of their stability under magnetic tilting in 2D nanowires.

Findings

Majorana zero modes persist under sizable vertical magnetic tilts.

Analytical phase boundary expressions are derived for strong orbital effects.

Experimental setups like InAs nanowires can realize these conditions.

Abstract

The Majorana phase boundaries in planar 2D hybrid (semiconductor-superconductor) nanowires are modified by orbital effects due to off plane magnetic components. We show that Majorana zero modes survive sizable vertical field tiltings, uncovering a remarkable phase diagram. Analytical expressions of the phase boundaries are given for the strong orbital limit. These phase boundaries can be fulfilled with attainable setups, such as an InAs nanowire of $150\, {\rm nm}$ in transverse width.