Comment on "Spin-Glass Solution of the Double-Exchange Model in Infinite Dimensions"

TL;DR

This paper critiques and offers a different derivation of the transition temperature formula in the double-exchange model on a Bethe lattice, and discusses the nature of the intermediate magnetic phase.

Contribution

It provides an alternative derivation of the transition temperature and comments on the interpretation of the intermediate phase in the double-exchange model.

Findings

Proposes a different derivation of the transition temperature formula.

Provides insights into the nature of the intermediate magnetic phase.

Comments on the interpretation of phases in the model.

Abstract

In a paper submitted to the Arxive some time ago (cond-mat/0509270), R. S. Fishman et al. considered double-exchange model on a Bethe lattice in infinite dimensions using dynamical mean-field theory. We present a somewhat different derivation of their general formula for the magnetic disorder - order transition temperature and comment on the interpretation of the intermediate (between ferromagnetism and antiferromagnetism) phase obtained by the authors.