The Magnetic Ordering in Diluted Crystal Magnets with Indirect Exchange Interaction

TL;DR

This paper analytically derives equations for parameter distributions in diluted crystal magnets with indirect exchange interactions, estimating critical concentrations for phase transitions across various lattice types.

Contribution

It introduces an analytical approach to determine parameter distributions and critical concentrations in diluted magnets with RKKY interactions.

Findings

Critical concentrations estimated for phase transitions in fcc, vcc, and sc lattices.

Analytical equations derived for parameter distribution functions.

Application to diluted crystal magnets with indirect exchange interactions.

Abstract

The closed system of equations for a determination of parameters distribution function for random interaction fields was calculated analytically. The estimations of critical concentrations for phase transitions in diluted crystal magnets with face centered cubic (fcc), volume centered cubic (vcc) and simple cubic (sc) lattices with interaction of Ruderman-Kittel-Kasua-Yosida between spins were made.