Linear and non-linear transport properties of carriers in non-paraboli
c Kane bands are investigated using the two extended balance equations
introduced by Magnus, Sala and De Meyer (MSD) and by Lei. Formally, t
he MSD equations describe the motion of a single particle with fixed c
harge and fixed mass, while the Lei equations describe the motion of a
single particle having fixed charge but variable effective mass. In t
he parabolic limit these two sets of equations are identical and reduc
e to the original Lei-Ting balance equations. In the non-parabolic cas
e, although the linear resistivities predicted by the Lei and MSD equa
tions are nearly the same for weakly to medially non-parabolic systems
, non-linear drift-velocity-field behaviour obtained from these two se
ts of equations shows marked differences for medial and strong non-par
abolicity. The reasons for these differences are- discussed.