A systematic method constructing functional integral representations of partition function and of the correlation function in a one-dimensional Peierls system is presented. This method is methodologically analogous to a star diagram method for superconductors developed by Gaudin and Langer. Also an effective Hamiltonian for CDW at finite temperatures is extracted from these functional integral representations. This Derivation justifies an effective phase mode Hamiltonian at T=0 introduced by Fukuyama through intuitive consideration.
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K. Takano (1982) studied this question.
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