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We present a simplified model for the colossal magnetoresistance in dopedmanganites by exactly solving a double-exchange model (with Ising-like localspins) and quenched binary disorder within dynamical mean field theory. Weexamine the magnetic properties and the electrical and thermal transport. Oursolution illustrates three different physical regimes: (i) a weak-disorderregime, where the system acts like a renormalized double-exchange system (whichis insufficient to describe the behavior in the manganites); (ii) astrong-disorder regime, where the system is described by strong-couplingphysics about an insulating phase (which is the most favorable for largemagnetoresistance); and (iii) a transition region of moderate disorder, whereboth double-exchange and strong-coupling effects are important. We use thethermopower as a stringent test for the applicability of this model to themanganites and find that the model is unable to properly account for the signchange of the thermopower seen in experiment.Comment: 14 pages, 10 figures, ReVTe

Dynamical mean-field theory of an Ising double-exchange model with diagonal disorder