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Validity of Ising model for mean field thoery

The Heisenberg model for the Hamiltonian of a ferromagnet is given by: $$H=-\frac{J}{2} \sum \vec{S}_i\cdot \vec{S}_j+\mu_B B \sum_i S^z_i$$ when performing mean field theory, to find $\chi$, we ...
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