THE EFFECTS OF INVERSION ASYMMETRY ON DILUTED MAGNETIC SEMICONDUCTORS WITH THE ZINCBLENDE STRUCTURE

The energy bands of a zincblende structure semiconductor in a magnetic field are modelled. The model is used to investigate the effects of the standard k {dollar}cdot{dollar} p parameters with exchange included on the energy bands of Hg{dollar}sb{lcub}rm 1-x{rcub}{dollar}Mn{dollar}sb{lcub}rm x{rcub}{dollar}Te and Hg{dollar}sb{lcub}rm 1-x{rcub}{dollar}Mn{dollar}sb{lcub}rm x{rcub}{dollar}Se in a magnetic field. The various parameters for the model are studied and the most influential parameters determined. The effect of these parameters on the periodicity, in inverse magnetic field, of the crossing of the Fermi energy with the magnetic energy bands is examined. The resulting periodicity is compared to experimental values determined from Shubnikov-de Hass (ShdH) data to verify that the presently accepted values of the standard parameters do reproduce this periodicity.; The model also includes the parameters normally neglected in the standard k {dollar}cdot{dollar} p treatment, specifically one warping and four inversion asymmetry parameters (IAPs). The IAPs and warping are examined using 408 x 408 k {dollar}cdot{dollar} p matrices. This allows us to study the effects of the four IAPs individually as well as collectively on the ShdH oscillations in Hg{dollar}sb{lcub}0.975{rcub}{dollar}Mn{dollar}sb{lcub}0.025{rcub}{dollar}Se over the temperature range 1.40 K to 3.40 K. From this process, we are able to determine a new set of exchange parameters, {dollar}alpha{dollar} and {dollar}beta{dollar}, and for the first time, a set of inversion asymmetry parameters which demonstrate the temperature dependence of the ShdH oscillations in diluted magnetic semiconductors.; We use this new set of parameters to determine the small k-space band structure, the Fermi surface, and the k{dollar}sb{lcub}rm z{rcub}{dollar} effective mass ratio as a function of field for Hg{dollar}sb{lcub}0.975{rcub}{dollar}Mn{dollar}sb{lcub}0.025{rcub}{dollar}Se. We further use these IAPs to calculate the semimetal to semiconductor transition, cyclotron mass ratios and effective Lande g-factors for Hg{dollar}sb{lcub}0.975{rcub}{dollar}Mn{dollar}sb{lcub}0.025{rcub}{dollar}Se, Hg{dollar}sb{lcub}0.95{rcub}{dollar}Mn{dollar}sb{lcub}0.05{rcub}{dollar}Te, and Hg{dollar}sb{lcub}0.94{rcub}{dollar}Mn{dollar}sb{lcub}0.06{rcub}{dollar}Te. For Hg{dollar}sb{lcub}0.95{rcub}{dollar}Mn{dollar}sb{lcub}0.05{rcub}{dollar}Te the calculated magnetic energy bands using IAPs are used to study the resulting ShdH frequencies at different Fermi energies. The results are then compared to available experimental data.