Noise and fluctuation relations of a spin diode

TL;DR

This paper explores fluctuation relations in a spintronic device called a spin-diode, analyzing how magnetic interactions influence spin transport and confirming nonlinear fluctuation relations under various conditions.

Contribution

It derives the cumulant generating function for spin transport in a spin-diode and verifies fluctuation relations considering spin-flip processes and magnetic fields.

Findings

Fluctuation relations hold for correlated up and down spin currents.

Nonlinear fluctuation relations are fulfilled in the presence of magnetic interactions.

The cumulant generating function for spin transport is obtained in the sequential tunnelling regime.

Abstract

We consider fluctuation relations between the transport coefficients of a spintronic system where magnetic interactions play a crucial role. We investigate a prototypical spintronic device (a spin-diode) which consists of an interacting resonant level coupled to two ferromagnetic electrodes. We thereby obtain the cumulant generating function for the spin transport in the sequential tunnelling regime. We demonstrate the fulfilment of the nonlinear fluctuation relations when up and down spin currents are correlated in the presence of both spin-flip processes and external magnetic fields.