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The low-temperature thermoelectric coefficient has been calculated for a model of fixed impurities and longitudinal Debye phonons interacting with free electrons through a Fr\"ohlich Hamiltonian. The terms in a diagrammatic expansion of the heat-current operator and transport equation are listed systematically; those that contribute to the Seebeck coefficient through a renormalization of the electron energy, velocity, and relaxation time are calculated explicitly. Some previously neglected terms are found to be important.
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Vilenkin et al. (1978) studied this question.
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