Band Modification Caused by Impurities and Magnetophonon Effect

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  • Band Modification Caused by Impurities

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Abstract

A Gaussian spectral weight function is derived by solving in a certain approximation the Dyson equation for band electrons interacting with impurities in a magnetic field. The condition for validity is clarified by examining the approximation. In the presence of the interaction with optical phonons as well as impurities, the transverse electric conductivity is calculated in an approximation consistent with the Green function. The effect of impurities on the transverse magnetophonon oscillation is small under the conditions considered here, contrary to the previous prediction by Barker. A possible reason of the discrepancy is discussed.

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