High-frequency conductivity of superlattices with electron-phonon coupling

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Abstract
The high-frequency and long-wavelength conductivity due to electron–optical-phonon interaction was derived for superlattices made out of polar or partially polar semiconductors. The treatment for conductivity rests on Kubo’s formula for the conductivity and the temperature-dependent Green’s-function formalism. General expressions for the conductivity and the resistivity have been derived, and we have performed numerical calculations for a simple model in which the subband structures of the phonons are ignored and the electronic wave function is approximated by a periodic array of two-dimensional electron gases.