Geometric phases and Andreev reflection in hybrid rings

TL;DR

This paper investigates how geometric (Berry) phases influence Andreev reflection in a hybrid mesoscopic ring with magnetic textures, proposing a new detection method for spin-related Berry phases through conductance measurements.

Contribution

It introduces a novel scheme to detect spin-related Berry phases via conductance in hybrid rings, emphasizing enhanced signal contrast and robustness.

Findings

Identification of Berry phase signatures in conductance

Proposal of a detection scheme for spin-related Berry phases

Analysis of magnetic flux and Zeeman splitting effects

Abstract

We study the Andreev reflection of a hybrid mesoscopic ring in the presence of a crown-like magnetic texture. By calculating the linear-response conductance as a function of the Zeeman splitting and the magnetic flux through the ring, we are able to identify signatures of the Berry phase acquired by the electrons during transport. This is proposed as a novel detection scheme of the spin-related Berry phase, having the advantage of a larger signal contrast and robustness against ensemble averaging.