Computer simulation of hopping conductivity in lightly doped two-dimensional semiconductors
We present the results of a numerical simulation of a two-dimensional lightly doped compensated semiconductor. We choose a flat density of states with width Δε. We model the semiconductor as a Miller and Abrahams type resistor network; we use the full form of the resistance and do not take the low-temperature asymptotic form because we carry out the simulation at temperatures for which kT is of order Δε. We find that there is a wide temperature range for which [Formula: see text] with ε3 = 0.28Δε. This value of ε3 is considerably smaller than values found by others. We believe that the difference between our result and those of other workers may be attributed to their use of the low-temperature form of the resistance [Formula: see text] in a temperature range in which kT is of order Δε.