Majorana bound state in rotating superfluid 3He-A between parallel plates

TL;DR

This paper proposes a feasible experimental setup using superfluid helium-3 A phase in a parallel plate geometry to detect Majorana zero energy states bound in vortices, combining Ginzburg-Landau and microscopic calculations.

Contribution

It introduces a concrete experimental configuration for observing Majorana bound states in superfluid helium-3, bridging theoretical predictions with practical implementation.

Findings

Identifies parameter regions where Majorana states can be observed.

Provides a detailed theoretical framework for experimental detection.

Connects existing rotating cryostat experiments with Majorana state testing.

Abstract

A concrete and experimentally feasible example for testing the putative Majorana zero energy state bound in a vortex is theoretically proposed for a parallel plate geometry of superfluid $^3$He-A phase. We examine the experimental setup in connection with ongoing rotating cryostat experiments. The theoretical analysis is based on the well-established Ginzburg--Landau functional, supplemented by microscopic calculations of the Bogoliubov--de Gennes equation, both of which allow the precise location of the parameter regions of the Majorana state to be found in realistic situations.