Internal spin resistance of spin batteries

TL;DR

This paper introduces the concept of internal spin resistance in spin batteries, quantifies it for various types, and relates it to spin current and accumulation sources using classical circuit analogies.

Contribution

It defines and derives the internal spin resistance for different spin battery mechanisms, providing a new framework for analyzing spin battery performance.

Findings

Internal spin resistance quantifies backflow in spin batteries.

Explicit formulas derived for spin injection, ferromagnetic resonance, and spin Hall effect.

Provides a Thevenin-Norton relation for spin current and accumulation sources.

Abstract

For spin batteries we introduce the concept of internal spin resistance which quantifies the amount of backflow from the load to the battery. It allows to relate through a Thevenin-Norton relation, spin current sources to spin accumulation sources. The value of the internal spin resistance is derived explicitly for several spin batteries based on spin injection, ferromagnetic resonance or spin Hall effect.