The 3D Dimer and Ising Problems Revisited
classification
❄️ cond-mat.stat-mech
hep-th
keywords
combinationdimerfiniteisinglinearpartitionadjacencyaperiodic
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We express the finite 3D Dimer partition function as a linear combination of determinants of oriented adjacency matrices, and the finite 3D Ising partition sum as a linear combination of products over aperiodic closed walks. The methodology we use is embedding of cubic lattice on 2D surfaces of large genus.
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