Abstract

In starting off this chapter, we ask whether the findings of Chapter 2 are peculiar to the Ising model, or whether they are more generally valid, and, in particular, whether they apply to cases other than lattice configurations. We find that this is the case, which may come as a surprise, since that model fixates on spin interactions between nearest neighbors and with an externally applied magnetic field. It turns out that such an approach is representative of a whole class of models. It is therefore instructive to examine the mean field approach to critical phenomena in a broader context, again starting from a model with magnetic exchange interactions, this time in spin-rotationally invariant form in spin space.

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