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Physics
Atomic and Condensed Matter
Mean field theory in the Heisenberg model
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[QUOTE="king vitamin, post: 6189505, member: 134222"] It's just a convention - you take the "mean field" such that the system magnetizes in the z direction, and take the magnetization in the other directions to zero. More generally, in an arbitrary coordinate system, you assume that the system has a uniform magnetization given by $$ \mathbf{M} = \langle \mathbf{S}_i \rangle = M \hat{e} $$ where ##\hat{e}## is a unit vector in some direction. Now just choose your coordinate system such that the z direction points along ##\hat{e}##, and then you have ##\langle S^+ \rangle = \langle S^- \rangle = 0## in that coordinate system. [/QUOTE]
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Atomic and Condensed Matter
Mean field theory in the Heisenberg model
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