Combinatorics of the double-dimer model
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DOI: 10.1016/j.aim.2021.107952
Abstract: We prove that the partition function for tripartite double-dimer configurations of a planar bipartite graph satisfies a recurrence related to the Desnanot-Jacobi identity from linear algebra. A similar identity for the dimer partition function was… read more here.
Keywords: dimer model; double dimer; combinatorics double; theory ... See more keywords
Synchronization transition in the double dimer model on the cubic lattice
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DOI: 10.1103/physrevb.99.144403
Abstract: We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte Carlo simulations. Our results establish the presence of a… read more here.
Keywords: dimer model; model; synchronization; double dimer ... See more keywords