Magnetic Properties of Dilute Alloys: Equations for Magnetization and its Structural Fluctuations

TL;DR

This paper develops a theoretical framework to describe how disorder affects magnetization and its fluctuations in dilute Heisenberg ferromagnets, providing equations that account for impurity-induced fluctuations.

Contribution

It introduces a self-consistent set of equations for magnetization and its fluctuations considering disorder, using a Green's function approach, especially at low impurity concentrations.

Findings

Quadratic fluctuations are proportional to impurity concentration squared.

Derived equations enable analysis of magnetization fluctuations in dilute alloys.

The approach advances understanding of disorder effects in magnetic materials.

Abstract

The dilute Heisenberg ferromagnet is studied taking into account fluctuations of magnetization caused by disorder. A self-consistent system of equations for magnetization and its mean quadratic fluctuations is derived within the configurationally averaged two-time temperature Green's function method. This system of equations is analised at low concentration of non-magnetic impurities. Mean relative quadratic fluctuations of magnetization are revealed to be proportional to the square of concentration of impurities.