Majorana edge modes of superfluid 3He A-phase in a slab

TL;DR

This paper proposes an experimental setup to observe Majorana edge modes in superfluid 3He A-phase confined in a slab, using theoretical calculations to identify observable signatures of these exotic states.

Contribution

It introduces a concrete experimental design and employs both quasi-classical and quantum mechanical calculations to identify Majorana edge modes in superfluid 3He A-phase.

Findings

Identification of Majorana edge modes around the circumference edge.

Theoretical evaluation of observable signatures of Majorana states.

Proposal of experiments to confirm the Majorana nature.

Abstract

Motivated by a recent experiment on the superfluid 3He A-phase with a chiral p-wave pairing confined in a thin slab, we propose designing a concrete experimental setup for observing the Majorana edge modes that appear around the circumference edge region. We solve the quasi-classical Eilenberger equation, which is quantitatively reliable, to evaluate several observables. To derive the property inherent to the Majorana edge state, the full quantum mechanical Bogoliubov-de Gennes equation is solved in this setting. On the basis of the results obtained, we perform decisive experiments to check the Majorana nature.