The quantum phenomenological model has been proposed to investigate the magnetic property of nanometer magnetic granular film in an applied magnetic field.The magnetoresistance of the granular films with two distinct magnetic phases has been calculated by using Born approximation.The results show that the average scattering cross section of the magnetic cluster decreases with the increasing number n of the atom.The origin of the giant magnetoresistance comes from the spin dependent scattering between conduction electrons and magnetic granules and the field dependence of magnetoresistance and the quadratic relation of magnetoresistance on the rate of magnetic moment are in good agreement with the experiments reported.
