Relation spin hall and inverse spin hall

[phys03]

I have a basic question about the spin hall effect and the inverse spin hall effect (SHE):

Let's take a material like Pt, which has a high SHE. Typically the spin hall conductivity (spin current over electric field) = 300 ohm^-1 cm^-1. However, it is also used for measurements using the inverse effect (ISHE). However, when using the ISHE effect a high spin hall conductivity is not beneficial, because the resulting electric field will scale with the reciprocal of the spin hall conductivity. So I would conclude that a high SHE would automatically result in a low ISHE "efficiency". Or am I using these equations wrong?

 

[BigJDubs]

The answer to your question is that a high spin Hall conductivity does not automatically result in a low ISHE efficiency. The efficiency of the ISHE depends on many factors, including the material properties and the geometry of the device. The spin Hall conductivity is an important factor, but it is not the only one. A high spin Hall conductivity does result in a larger spin current, which can then produce a larger electric field when measured using the ISHE. However, this electric field is also affected by other factors such as the device geometry and the materials used.