The temperature dependence of the giant magnetoresistance (GMR) for currents
parallel and perpendicular to the multilayer plane, is discussed by taking
account of the random exchange potentials, phonon scatterings and spin
fluctuations. The effect of spin fluctuations, which plays an important role at
finite temperatures, is included by means of the static functional-integral
method developed previously by the present author. Our model calculations well
explain the observed features of the parallel and perpendicular GMR of Fe/Cr
and Co/Cu multilayers recently reported by Gijs {\it et al}.Comment: 20 pages (LATEX), 5 figures available on request to
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