Inverse Spin Hall effect in ferromagnetic nanomagnet. Dependencies on magnetic field, current and current polarity

TL;DR

This paper investigates the non-linear Hall angle behavior in ferromagnetic nanomagnets, attributing it to the inverse spin Hall effect (ISHE) and its dependencies on magnetic field, current, and polarity, supported by experimental and theoretical analysis.

Contribution

It identifies and models the significant role of ISHE in ferromagnets, revealing non-linear effects not explained by traditional Hall mechanisms.

Findings

ISHE contributes significantly to Hall angle in ferromagnets

Hall angle shows non-linear dependence on magnetic field

Current polarity affects Hall angle due to Spin Hall effect

Abstract

The measured Hall angle in a ferromagnetic nanomagnet shows a substantial non-linear dependence on an external magnetic field, which cannot be explained by adopted mechanisms of the Ordinary and Anomalous (AHE) Hall effects implying a linear plus constant dependence on the external magnetic field. We suggest that there is an additional non-linear contribution from the Inverse Spin Hall effect (ISHE). The significant contribution of ISHE in a ferromagnet is supported by perfect agreement of experiment with a phenomenological theory of ISHE. We observed different dependencies of AHE and ISHE on current suggesting their different thermal dependencies. We also observe dependence of the Hall angle of the current polarity which is due to the Spin Hall effect.