Anomalous Josephson Hall effect in magnet/triplet superconductor junctions

TL;DR

This paper explores the anomalous Hall effect in magnet/triplet superconductor junctions, revealing how complex magnetic structures induce supercurrents with unique properties, differing from traditional anomalous Hall effects.

Contribution

It introduces the concept of anomalous Hall supercurrent arising from non-trivial magnetic structures, highlighting the role of even order exchange coupling terms in supercurrents.

Findings

Anomalous Hall supercurrent depends on non-trivial magnetic structures.

The effect is characterized by even order exchange coupling terms.

Potential magnetic structures are proposed for experimental verification.

Abstract

We investigate anomalous Hall effect in a magnet coupled to a triplet superconductor under phase gradient. It is found that the anomalous Hall supercurrent arises from non-trivial structure of the magnetization. The magnetic structure manifested in the Hall supercurrent is characterized by even order terms of the exchange coupling, essentially different from that discussed in the context of anomalous Hall effect, reflecting the disspationless nature of supercurrent. We also discuss a possible candidate for magnetic structure to verify our prediction.