Critical Temperature of Periodic Ising Models
- đ¤ Speaker: Zhongyang Li (Cambridge)
- đ Date & Time: Tuesday 25 October 2011, 14:15 - 15:15
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
A periodic Ising model is one endowed with interactions that are invariant under translations of members of a full-rank sublattice L of Z^2. We give an exact, quantitative description of the critical temperature, defined by the supreme of the temperatures at which the spontaneous magnetization of a periodic, Ising ferromagnets is nonzero, as the solution of a certain algebraic equation, namely, the condition that the spectral curve of the corresponding dimer model on the Fisher graph has a real node on the unit torus.
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Zhongyang Li (Cambridge)
Tuesday 25 October 2011, 14:15-15:15