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Based on the model combining the spin double exchange and the lattice polaron, we have studied the colossal-magnetoresistance phenomena observed in perovskite manganites R_1-x{A}ₓMnO₃. First, effects of both the double exchange and the electron-phonon interaction on the transport properties are investigated. We have evaluated the temperature-dependent resistance and the magnetoresistance using the Kubo formula, and examined the crossover from the tunneling to hopping regime of small polarons. Second, effects of the double-exchange interaction on the lattice degree of freedom are explored. It is found that both the hardening of the phonon frequency and a reduction of the phonon damping take place with decreasing the temperature.
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Lee et al. (1997) studied this question.
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