Direct determination of indium antimonide energy band parameters from diamagnetic exciton spectra

Diamagnetic exciton spectra of InSb crystals derived from transmission measurements carried out on thin unstressed samples at 1.8 K and in magnetic fields up to 80 kOe are used for a direct determination of parameters of the c-and v-bands. Detailed identification and precise binding energy calculations permit one to derive the cyclotron frequencies of the electron and the holes, and the spin splittings. The m*/sub c/(epsilon/sub c/) and g*/sub c/(epsilon/sub c/) relationships thus obtained exhibit good agreement with Kane's model up to energies close to epsilon/sub c/ approximately epsilon/sub g/. Light holes also reveal a strong nonparabolicity characterized in the linear-in-k4 approximation by the coefficient p/sub lh/ = 0.47 meV-1. An analysis of the splitting of two light-hole long-wavelength transitions including the diamagnetic exciton binding energies and the data on the c-band obtained permits one to calculate the v-band parameter set. (author)