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Electron-phonon scattering in superlattices.

The total scattering rate and momentum relaxation rate are evaluated for an ideal, periodic superlattice by taking matrix elements of the electron-phonon interaction between basis states which are plane-wave combinations of finite quantum-well wave functions. This is done for quasielastic deformation-potential scattering by acoustic and nonpolar optical phonons. The intrawell scattering rate is of the form found by other workers for a quasi-two-dimensional electron gas and superlattice. In addition, contributions due to interwell transfer and due to the interference of intrawell and interwell processes are obtained. The respective form factors for these processes are identified and evaluated, and the dependence on density of final states is found.