Magnetoresistance (MR) ratios R(B,T)/R(0,T) have been measured in an insula
ting three-dimensional amorphous nickel-silicon film that exhibits the Mott
variable-range hopping (VRH) law in its zero-field resistance behavior. Su
rprisingly, the resistance displayed a decrease in small fields; only in mo
derately strong magnetic fields did the resistance exhibit a large increase
over its zero-field value. These results are described by a phenomenologic
al empirical model of two hopping processes acting simultaneously-the orbit
al magnetoconductance (forward-interference) model yielding negative magnet
oresistances and the wave-function shrinkage model contributing positive ma
gnetoresistances. The fits use numerical values for estimating the R(B,T)/R
(0,T) ratios, based upon the wave-function shrinkage model. The model inclu
des three fitting parameters, whose magnitudes are extracted from the MR ra
tio data at T = 10.5 K. Agreement between the predicted and measured data i
s acceptable at high temperatures. A crossover of the conductivity to an Ef
ros-Shklovskii (ES) variable-range hopping law is observed around T = 6 K.
At lower temperatures for this ES case, predicted values for the R(B,T)/R(0
,T) ratios are fitted to the data. For a second weakly insulating film, whi
ch also exhibits a Mott VRH law in its resistance, the negative magnetoresi
stance contribution is greatly depressed.