Abstract
The isotropic analytical exchange interaction of GaAs and InP is determined to be 0.02±0.01 and 0.04±0.015 meV, respectively, for the two materials from a comparison of theoretically generated and experimentally determined transverse exciton energies and oscillator strengths in magnetic fields up to 20 T. The calculation of the theoretical spectra is based on a recent intermediate-field theory including the analytical and nonanalytical part of the exchange interaction. The experimental values are determined from a two-oscillator line-shape analysis of ,- -, and -polarized magnetoreflection spectra. A newly developed model describing the exciton-free surface layer of a semiconductor by an exponentially decreasing damping of the exciton contribution to the dielectric constant is shown to improve strongly the quality of the line-shape fit. This improvement is achieved without increasing the number of fitting parameters as compared to the older model using a layer of finite thickness with infinite damping. From a similar comparison of theoretical and experimental values of the energies and oscillator strengths of longitudinal-transverse mixed-mode exciton spectra in magnetic fields which are found for the polarization in Voigt configuration () the size of the nonanalytical exchange interaction in GaAs is determined to be 0.08±0.02 meV. For InP an upper limit of meV is derived.
- Received 14 February 1979
DOI:https://doi.org/10.1103/PhysRevB.20.3303
©1979 American Physical Society