Effect of electron interactions on the conductivity and exchange coupling energy of disordered metallic magnetic multilayer

TL;DR

This paper investigates how electron-electron interactions influence the conductivity and exchange coupling energy in disordered metallic magnetic multilayers, revealing a transition in their angular dependence based on key energy scales.

Contribution

It introduces a detailed analysis of the angular dependence of conductivity and exchange energy considering electron interactions and identifies a transition influenced by ferromagnetic splitting and Thouless energy.

Findings

Conductivity and exchange energy depend periodically on magnetization angle.

A transition from 2π to π periodicity occurs based on characteristic energies.

The transition is linked to ferromagnetic splitting and Thouless energy.

Abstract

We consider the effect of electron-electron interactions on the current-in-plane (CIP) conductivity and exchange coupling energy of a disordered metallic magnetic multilayer. We analyze its dependence on the value of ferromagnetic splitting of conducting electrons and ferromagnetic layers relative magnetizations orientation. We show that contribution to the CIP conductivity and exchange coupling energy as a periodic function of the angle of magnetizations relative orientation experience $ 2\pi \to \pi $ transition depending on the characteristic energies: ferromagnetic splitting of the conducting electrons and the Thouless energy of paramagnetic layer.