A Monte Carlo model of parallel high-field transport in III-V heterost
ructures is presented. Special features of the model are the following
: only two-dimensional electron states are considered, the possible ex
istence of secondary wells inside the barriers is accounted for, and n
onparabolicity effect and quantization of satellite valleys are includ
ed. The wave functions and eigenenergies are calculated by self-consis
tent resolution of Poisson and Schrodinger equations. The effect of no
nparabolicity on dispersion relations is determined at first order by
a perturbation method. First, the simple case of an infinite GaAs squa
re well is investigated as a test for the model, then more realistic h
eterostructures are considered. A study of a modulation-doped pseudomo
rphic AlxGa1-xAs/In0.15Ga0.85As structure shows that the electric fiel
d induces a significant repopulation of the doped AlGaAs layer. When x
= 0.32, this real-space transfer is strongly correlated with the inte
rvalley transitions toward X valley states. For In0.52Al0.48As/In0.53G
a0.47As the situation is quite different and a good confinement in the
InGaAs well is preserved even at high fields owing to the large band
offset in the L valley. This study demonstrates a complicated influenc
e of band structure on electron transport in heterostructures.