PM-FM transition in a DE model

TL;DR

This paper analyzes the paramagnetic to ferromagnetic transition in a double exchange model using dynamical mean field theory, deriving explicit formulas for the transition temperature across various parameters and calculating specific results for a semi-circular density of states.

Contribution

It provides a new explicit formula for the transition temperature in the double exchange model applicable to arbitrary electron dispersion and parameters.

Findings

Derived an explicit formula for $T_c$ in the DE model.

Calculated $T_c$ for a semi-circular density of states.

Analyzed the dependence of $T_c$ on model parameters.

Abstract

We study paramagnetic - ferromagnetic transition due to exchange interaction between classical localized magnetic moments and conduction electrons. By solving the Dynamical Mean Field Approximation equations we find explicit formula for the transition temperature $T_c$ for arbitrary electron dispersion law, concentration and re lation between exchange coupling and the electron band width. We present the results of calculations of the $T_c$ for the semi-circular electron density of states.