Spin-triplet supercurrent carried by quantum Hall edge states through a Josephson junction

TL;DR

This paper demonstrates that a spin-polarized Landau level in a 2D electron gas can support a spin-triplet supercurrent via Andreev reflection and Rashba spin-orbit coupling, revealing unique current-phase behaviors.

Contribution

It introduces a mechanism for spin-triplet supercurrent in quantum Hall edge states, highlighting the role of Rashba spin-orbit coupling at NS interfaces.

Findings

Spin-triplet supercurrent can be carried by quantum Hall edge states.

Distinct current-phase relationships for triplet and singlet Josephson effects.

Qualitative differences in Fraunhofer oscillations between triplet and singlet supercurrents.

Abstract

We show that a spin-polarized Landau level in a two-dimensional electron gas can carry a spin-triplet supercurrent between two spin-singlet superconductors. The supercurrent results from the interplay of Andreev reflection and Rashba spin-orbit coupling at the normal--superconductor (NS) interface. We contrast the current-phase relationship and the Fraunhofer oscillations of the spin-triplet and spin-singlet Josephson effect in the lowest Landau level, and find qualitative differences.