The use of anisotropic relaxation times for calculating the magnetoconductivity

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Abstract
When an anisotropic relaxation time is rigorously defined through the Boltzmann equation, it depends on the applied fields. Therefore, the relaxation times to be employed when using the path integral to evaluate the magnetoconductivity at high magnetic fields are different from those used for the electrical conductivity. The relationship between these two sets of scattering times is discussed proceeding from the path integral. It is argued that for the longitudinal magnetoconductivity it is a reasonable first approximation to use the same relaxation times for any magnetic field strength. Calculations are presented of the temperature and orientation dependence of the longitudinal magnetoconductivity of pure potassium, based on relaxation times previously calculated by Hayman and Carbotte (1972).

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