Zur Quantentheorie der Transportprozesse im Magnetfeld. III - Phononen-Mitführung (phonon drag)

In the presence of a transversal magnetic field the electric thermoelectric and thermal transportcoefficients are calculated, taking into account phonon drag. The calculations are based on the model of free electrons, phonons, and impurity scatterers. Starting from Kubo's formulae, and using truncation technique for Green's functions an integral equation (generalized transport equation) is developed. It is solved in the case of strong magnetic field. If phonon drag is neglected Titeica type formulae hold for all transportcoefficients. Phonon drag reduces the values in the sense that the electron-phonon-relaxation time is replaced by the sum of the electron-phonon- and phonon-scatterer-relaxation time.