Abstract
Abstract : The concepts and results of several theories of localized spin fluctuations are contrasted. The random phase approximation--qualitatively correct for weak exchange coupling U--overemphasizes the collective nature of the fluctuations and in dilute alloys leads to an unphysical instability for U = or > U sub c. For U approximately equal to U sub c, nonlinear interactions between spin fluctuations suppress the instability. These anharmonic effects have been treated through the functional average and the diagram summation schemes, and they lead to a smooth variation of the system properties as U increases through U sub c. A complementary treatment in which one studies the time-evolution of spin fluctuations is also considered. (Author)
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