We investigate the hole perpendicular transport properties in semicond
uctor superlattices (SLs) by using the extended Lei-Ting balance equat
ion theory for an arbitrary energy band including hole-impurity, hole-
polar-optic-phonon, and hole-nonpolar-optic-phonon scatterings. Effect
s of heavy-hole-light-hole mixing are taken into account by means of t
he approximate dispersion relation suggested by O. E. Raichev [Phys. R
ev. B 50, 5382 (1994)]. Numerical calculations show that the complex h
ole energy spectrum causes a breakdown of the negative differential co
nductance for the hot-hole perpendicular transport in SLs in contrast
with the results corresponding to a simplified electronlike energy spe
ctrum. (C) 1997 American Institute of Physics.