Threshold energies and rates for hole-initiated impact ionization are
calculated as functions of energy and direction in k-space. The calcul
ations are based on anisotropic band structure and wavefunctions deriv
ed from four-band k.p theory with remote bands taken into account by p
erturbation theory. It is found that in InP the transitions initiated
by carriers in the split-off band are dominant, while for In0.53Ga0.47
As transitions initiated by light and heavy holes are also important.
Simple algebraic expressions depending on energy and one direction par
ameter have been developed to approximate the computed transition rate
s so that these may be used in further calculations or simulations of
transport involving hot carriers.