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

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.