This chapter is mostly concerned with the methods for calculating the electrical conductivity. Four different methods are discussed: (1) solving the Boltzmann equation, (2) evaluating the Kubo formula for the current—current correlation function, (3) evaluating the force—force correlation function, and (4) solving the quantum Boltzmann equation. For scattering from fixed impurities they all give the same answer. For scattering by phonons two different answers are obtained. One is called the Ziman (1960) formula, and the other the Holstein (1964) formula. Two criteria are important in comparing these methods: which is the easiest to use, and which gives the most accurate answer?
KeywordsFermi Surface Spectral Function Ward Identity Vertex Function Impurity Scattering
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