A unified model for the magnetic band structure of cadmium antimonide

Abstract

The authors calculate the Landau states in the valence bands of CdSb using the two-band model first proposed by Yamada (1973, 1974). The model should be valid for the whole range of energy states of physical interests in these bands. Approximate analytic formulae are obtained for the Landau energies in each band, from which are deduced the cyclotron effective masses as functions of energy or concentration for arbitrary directions of the magnetic field. They calculate also the integrated density of states as a function of energy and hence the Fermi energy as a function of carrier concentration. Finally, they propose tentative values of the band-structure parameters consistent with recent experimental data from magneto-transport experiments. With these parameters the double-hump structure of Yamada is largely suppressed, but the E-k relationship is quite flat near the top of the upper band. Thus the effective-mass anomaly mentioned in their earlier paper occurs at low hole energy. Detailed numerical calculations have been carried out for each of the cases in which the magnetic field is in the direction of a principal symmetry axis.