Temperature dependence of vibrationally assisted electronic absorption band shapes of impurities in solids

Abstract

The detailed temperature dependence of the half-width, peak intensity, and wavenumber of the peak of the absorption band shape is calculated for a vibrationally assisted electronic transition in an impurity in a solid. The quantum mechanical vibrational interaction between the impurity and the lattice is linear, and the convolution approach with a single vibrational mode is used. Results are compared to those of the nonconvolution approach. The nonconvolution-approach results consistently overestimate the half-width and peak intensity of the convolution results; but the basic temperature dependences are the same. In the convolution approach, the wavenumber of the peak increases with increasing temperature, while it is temperature independent in the nonconvolution approach.