We use the dynamical mean-field method to study a model of electrons Jahn-Teller coupled to localized classical oscillators and ferromagnetically coupled to ‘‘core spins.’’ The model, we argue, contains the essential physics of the ‘‘colossal magnetoresistance’’ manganites ${\mathrm{Re}}_{1\mathrm{-}\mathit{x}}$${\mathit{A}}_{\mathit{x}}$${\mathrm{MnO}}_3$. We determine the different regimes of the model and present results for the temperature and frequency dependence of the conductivity, the electron spectral function, and the root-mean-square lattice parameter fluctuations. We compare our results to data and give a qualitative discussion of important physics not included in the calculation. Extensive use is made of results from a companion paper [Phys. Rev. B 54, 5389 (1996)]. © 1996 The American Physical Society.

• Received 29 February 1996

DOI:https://doi.org/10.1103/PhysRevB.54.5405