The dependence of the giant magnetoresistance (GMR) of a metallic granular
system on the concentration of magnetic particles is studied numerically. T
he effect of particle coalescence and dipolar interactions between the part
icles on the value of optimum GMR and the shape of the concentration depend
ence curve are discussed. The micromagnetic configuration of the system is
obtained by a Monte Carlo algorithm that involves short-range effective exc
hange couplings and long range dipolar interactions. The conductivity is ob
tained using Kubo's formula for a tight binding Hamiltonian. A comparison o
f our results to experiments on metallic granular films is made. (C) 2001 A
merican Institute of Physics.