A simple rigorous analytical theory of two-dimensional (2D) nonequilib
rium electrons occupying an arbitrary number of subbands in a quantum
well is developed. The electric-field dependence of electron mobility
and the average kinetic energy for AlN/GaN quantum wells are presented
. At temperatures below 200 K the electron mobility is controlled main
ly by the acoustic phonon scattering and it is a nonmonotonous functio
n of the electric field, which has a maximum. At room and higher tempe
ratures the interaction with both acoustic and polar optical phonons d
etermine the hot-electron mobility and it depends very weakly on the e
lectric field. Both the mobility and average energy of 2D electrons ar
e smaller than that for three-dimensional (3D) electrons in the bulk s
emiconductor. Our theory provides a self-consistent transition from th
e 2D to the 3D regime of electron transport with increasing electric f
ield accompanied by the occupation of an increasingly large number of
subbands by the electrons. (C) 1998 American Institute of Physics. [S0
003-6951(98)03943-6].