Rs. Zheng et al., POLARONIC EFFECT ON THE ELECTRON-ENERGY SPECTRUM IN A QUANTUM-WELL, Journal of physics. Condensed matter, 6(47), 1994, pp. 10307-10316
A general analytical expression for the electron energy spectrum and t
he polaron binding energy for different electronic subband bound state
s in a quantum well (QW) is presented. The effects of the electron-opt
ical-phonon interaction, the finite confinement potential, the differe
nce in the electronic effective masses across the interface, and the e
lectron subband state are considered in this paper. The correct three-
dimensional and two-dimensional results are given as the limit cases w
hen the well width varies from infinity to zero. The expression is num
erically applied to the GaAs/AlxGa1-xAs QWS with several different alu
minium concentrations x. Some properties of the polaron are discussed.