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arxiv: 1502.07254 · v3 · pith:GBJ5IAD2new · submitted 2015-02-25 · ❄️ cond-mat.stat-mech

Improved Lower Bounds on the Ground-State Entropy of the Antiferromagnetic Potts Model

classification ❄️ cond-mat.stat-mech
keywords boundsground-statelowerantiferromagneticentropyimprovedmethodsmodel
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We present generalized methods for calculating lower bounds on the ground-state entropy per site, $S_0$, or equivalently, the ground-state degeneracy per site, $W=e^{S_0/k_B}$, of the antiferromagnetic Potts model. We use these methods to derive improved lower bounds on $W$ for several lattices.

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