A simple and general formula for the orbital magnetism has been obtained for a many-body system in which the one-particle self-energy function depends on both energy and momentum variables. The result is an extension of the Landau-Peierls formula, which is valid only in the case of an energy-independent self-energy. Using this formula the effects of spin fluctuations on the orbital susceptibility of ininerant electrons in a nondegenerate band are examined near the Curie temperature TC. If the spin-orbit interaction is neglected, the orbital susceptibility is modified only to order (TCεF)², where εF is the Fermi energy. In the presence of the spin-orbit interaction, there is a contribution proportional to the static spin susceptibility which is divergent at T=TC. However this contribution is generally small since the proportionality constant is of order α², where α=(137)^-1 is the fine-structure constant.
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Fukuyama et al. (1974) studied this question.
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