# Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents

## TL;DR

This paper investigates the superspin Hall and inverse superspin Hall effects in two-dimensional systems, revealing their properties through numerical analysis and proposing a method for electrical detection of spin supercurrents.

## Contribution

It introduces the concept of the inverse superspin Hall effect and proposes a novel electrical detection method for spin polarization in supercurrents.

## Key findings

- Superspin Hall current does not produce edge magnetization.
- Inverse superspin Hall effect generates a transverse charge supercurrent.
- Proposed $$ junction can measure spin polarization of supercurrents.

## Abstract

A useful experimental signature of the ordinary spin Hall effect is the spin accumulation it produces at the sample edges. The superspin Hall current [Phys. Rev. B 96, 094512 (2017)] is a transverse equilibrium spin current which is induced by a charge supercurrent. We study the superspin Hall current numerically, and find that it does not give rise to a similar edge magnetization. We also predict and numerically confirm the existence of the inverse superspin Hall effect, which produces a transverse charge supercurrent in response to an equilibrium spin current. We verify the existence of the inverse superspin Hall effect both for a spin-polarized charge supercurrent and an exchange spin current, and propose that a $\phi_0$ junction produced by the inverse superspin Hall effect can be used to directly and electrically measure the spin polarization of a charge supercurrent. This provides a possible way to solve the long-standing problem of how to directly detect the spin-polarization of supercurrents carried by triplet Cooper pairs.

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Source: https://tomesphere.com/paper/1902.05555