The grounds-state description of the optical polaron versus the effective dimensionality in quantum-well-type systems

Abstract

Within the framework of the strong-coupling polaron theory the ground-state binding energy and the effective mass of the electron-LO phonon system is retrieved as a function of the effective dimensionality in a quantum-well confinement. The geometry used is a three-dimensional parabolic potential box, the barrier slopes of which can be tuned so as to yield a unified characterization interpolating between the bulk, the quasi-two- and one-dimensional limits as well as the quantum-well box case.