The oscillatory structure of the magnetophonon effect. II. Resolvent analysis of the longitudinal configuration

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Abstract
For pt.I see abstr. A57179 of 1972. A unified formalism for describing the transverse and longitudinal magnetophonon effects is developed from a resolvent perturbation expansion of the high magnetic field Kubo formula for conductivity to include the effects of Landau level collision broadening. A kinetic equation is derived for the longitudinal magnetoconductivity and solved for a non-polar optic phonon scattering model in the limits of zero and strong level broadening. Conditions for observing maxima or minima in the resistivity are obtained in these limits. Strong damping is shown to lead to minima displaced to the low field side of the resonance fields B=m omega 0/eP where omega 0 is the LO phonon frequency and P is an integer. The theory is consistent with experimental data on III-V semiconductors due to Straddling.
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