Spin Dependence of the Magnetoresistance in the Simple Cubic Lattice

In this work, we investigate the spin dependence of the magnetic susceptibility of the simple cubic lattice by using the Kaneyoshi theory (or effective field theory). We find that there is a strong relationship between the magnetic susceptibility, magnetoresistance and magnetoconductance. Our results are in good agreement with the experimental magnetoresistance results of G. Binasch et al., [Phys. Rev. B 39, 4828 (1989)] and M. N. Baibich et al., [Phys. Rev. Lett. 61, 2472 (1988)]. Therefore, we suggest that the absolute values of spin dependence of the susceptibility, resistivity and conductivity are the same versus external magnetic field.