Kane model parameters and stochastic spin current

TL;DR

This paper investigates how thermal effects modify Kane model parameters and spin-orbit coupling, influencing spin current and conductivity through a stochastic process and Kramers equation analysis.

Contribution

It introduces a method to evaluate the impact of thermal modifications on Kane parameters and spin current using the Kramers equation and $oldsymbol{k} oldsymbol{ullet} oldsymbol{p}$ approach.

Findings

Thermal effects alter Kane model parameters.

Modified SOC affects spin current magnitude.

Spin conductivity is influenced by thermal modulation.

Abstract

The spin current and spin conductivity is computed through thermally driven stochastic process. By evaluating the Kramers equation and with the help of $\vec{k}.\vec{p}$ method we have studied the spin Hall scenario. Due to the thermal assistance, the Kane model parameters get modified, which consequently modulate the spin orbit coupling(SOC). This modified SOC causes the spin current to change in a finite amount.