Abstract:
The Effective Mass Theory (EMT) for isotropic crystals is `briefly review-ed. Its shortcomings are pointed out. Reference is then made to our earlier work on the extension of this theory: Solving the effective wave equation (EWE) with the effective Hamiltonian expanded to .6, " and the static dielectric constant replaced by a dielectric function which depends on the electron hole separation. A similar approach is now adopted for anisotropic crystals. An Effective Wave Equation (EWE) is developed and solved for a model semiconductor. The model chosen is very simple: a uniaxial semiconductor having an anisotropic band structure such that the anisotropic in the crystal structure and the band structure are small enough to be considered as perturbations on an overall isotropic semi-conductor. The theory developed is then applied to the exciton spectrum of CdS. The relative magnitudes of the anisotropy and the dielectric corrections are cal-culated. The theoretical results are compared with the experimental observations.
Page(s):
16-22
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Scientific and Industrial Research, Volume: 22, Issue: 1--2, Year: 1979