We investigate the spin magnetism of mesoscopic metallic grains. In the average response of an ensemble of grains there are corrections to macroscopic behavior due to both spectral fluctuations and electron-electron interactions. These corrections are a nonlinear function of the magnetic field. Their temperature dependence is calculated numerically and analytically. An experiment is proposed to measure the unknown interaction coupling constant in the Cooper channel. For a single sample the magnetization is found to fluctuate reproducibly about the mean. These fluctuations directly probe the energy level statistics.
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Mathur et al. (1995) studied this question.
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