Parametrization of the relaxation time in crystalline graphite

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Abstract
The band theory of Slonczewsky, Weiss, and McClure (SWMc) is combined with an electron-phonon interaction to determine the relaxation time in crystalline graphite as a function of the interaction parameters. The transition probability between Bloch functions, which include atomic displacements due to thermal vibration of the lattice, is evaluated. Wave functions are expanded at each atomic site, leading to a simple relationship between the electron-phonon interaction and the relaxation time. The splitting of the relaxation time parallel and perpendicular to the graphite plane is introduced through the transition probability. The Komatsu dispersion relation, for parallel and perpendicular acoustic phonons, is adjusted through experimental measurement. Relaxation times are evaluated as a function of energy for temperatures between 25 and 300 K, giving results that depend on the interaction parameters used. Both parallel and perpendicular relaxation times are of the same order of magnitude, and the parallel relaxation time agrees with the one calculated using Ono’s theory.

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