No abstract

We discuss the (LO)polaron dispersion for arbitrary spatial dimension D. Firstly, we review the existing literature; recent numerical work is critically analyzed. Secondly, we derive novel upper bounds for the dispersion, which incorporate the correct behaviour of the dispersion up to third order of the coupling constant a. A totally analytical evaluation is performed in the case D ¼ 1. We compare the upper bounds with previously published lower bounds. Apart from a surrounding of zero dispersion, the relative deviation is on a few-percent scale.

Bound polarons are discrete, confined electronic states, spatially localized due to a local potential V(r) but sharing a common phonon state of the surrounding crystal. We study the energy states of polarons bound in a potential and determine the local optical absorption spectrum up to first-order time-dependent perturbation theory with respect to the electron-photon interaction. The model is applied to describe the optical properties of submonolayer CdSe insertions epitaxially grown between ZnSe layers. As a typical signature of bound polarons we found excited-state energies equidistantly separated by the LO phonon energy and with optical transition probabilities determined by the anisotropies in V(r).