Efficient numerical procedure for the determination of the wave function-independent terms in longitudinal optical phonon scattering rates formulated in the Fourier domain

摘要

A recently developed Fourier-transform-based formulation of the longitudinal optical phonon scattering rates in heterostructures allows us to separate the wave functions from multidimensional integrals, which depend on the intersubband transition energy, the chemical potential, and the electron temperature. Here, we discuss an efficient determination of these integrals and an automatic fitting procedure in order to provide a compact table of pre-calculated integrals. As a result, computation times on a scale of minutes for the scattering rates are achieved for any reasonable set of parameters.