A HOT-HOLE TRANSPORT MODEL-BASED ON SPHERICAL HARMONIES EXPANSION OF THE ANISOTROPIC BAND-STRUCTURE

To represent the valence bands of cubic semiconductors a coordinate tr ansformation is proposed such that the hole energy becomes an independ ent variable. This choice considerably simplifies the evaluation of th e integrated scattering probability and the choice of the state after scattering in a Monte Carlo procedure. In the new coordinate system, a numerically given band structure is expanded into a series of spheric al harmonics. This expansion technique is capable of resolving details of the band structure at the Brillouin zone boundary and hence can sp an an energy range of several electron-volts. Results of a Monte Carlo simulation employing the new band representation are shown.