Calculation of theΓΔElectron-Phonon and Hole-Phonon Scattering Matrix Elements in Silicon

Abstract
With use of the "rigid-pseudoion" model, the first calculation of the electron-phonon and hole-phonon scattering matrix elements for the TO, LO, TA, and LA phonon-assisted indirect transitions (ΓΔ) in Si has been performed. Excellent agreement with experimental values for the TO phonon is found. Based on the present results, the intensities of the entire ΓΔ indirect spectrum of this material can be accurately described, thereby rigorously testing the model.