Quantitative study of the spin Hall magnetoresistance in ferromagnetic insulator/normal metal hybrids

TL;DR

This study experimentally investigates the spin Hall magnetoresistance effect in various ferromagnetic insulator/metal hybrids, confirming theoretical predictions and extracting key spin transport parameters in platinum.

Contribution

It provides the first quantitative analysis of spin Hall magnetoresistance in these hybrids, including measurements of the spin Hall angle and spin diffusion length in platinum.

Findings

Spin Hall magnetoresistance depends on magnetization orientation.

The effect persists with nonferromagnetic metal layers between platinum and the ferromagnet.

Extracted spin Hall angle of 0.11 and spin diffusion length of 1.5 nm in platinum.

Abstract

We experimentally investigate and quantitatively analyze the spin Hall magnetoresistance effect in ferromagnetic insulator/platinum and ferromagnetic insulator/nonferromagnetic metal/platinum hybrid structures. For the ferromagnetic insulator we use either yttrium iron garnet, nickel ferrite or magnetite and for the nonferromagnet copper or gold. The spin Hall magnetoresistance effect is theoretically ascribed to the combined action of spin Hall and inverse spin Hall effect in the platinum metal top layer. It therefore should characteristically depend upon the orientation of the magnetization in the adjacent ferromagnet, and prevail even if an additional, nonferromagnetic metal layer is inserted between Pt and the ferromagnet. Our experimental data corroborate these theoretical conjectures. Using the spin Hall magnetoresistance theory to analyze our data, we extract the spin Hall angle and the spin diffusion length in platinum. For a spin mixing conductance of $4\times10^{14}\;\mathrm{\Omega^{-1}m^{-2}}$ we obtain a spin Hall angle of $0.11\pm0.08$ and a spin diffusion length of $(1.5\pm0.5)\;\mathrm{nm}$ for Pt in our thin film samples.