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arxiv: 0801.0431 · v2 · pith:WXQE33V7new · submitted 2008-01-02 · ❄️ cond-mat.stat-mech

Dimers and the Ising model

classification ❄️ cond-mat.stat-mech
keywords isingmodeldimersgroundmodelsrelationshipstatesappropriate
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We present a innovative relationship between ground states of the Ising model and dimer coverings which sheds new light on the Ising Models with highly degenerated ground states and enables one to construct such models. Thanks to this relationship we also find the generating function for dimers as the appropriate limit of the free energy per spin for the Ising model.

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