Combinatorics of the Dimer Model on a Strip

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dc.creatorOrlando, D.
dc.creatorReffert, S.
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:28:43Z
dc.date.available2026-07-07T08:28:43Z
dc.descriptionIn this note, we give a closed formula for the partition function of the dimer model living on a (2 x n) strip of squares or hexagons on the torus for arbitrary even n. The result is derived in two ways, by using a Potts model like description for the dimers, and via a recursion relation that was obtained from a map to a 1D monomer-dimer system. The problem of finding the number of perfect matchings can also be translated to the problem of finding a minmal feedback arc set on the dual graph.
dc.description19 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0709.1546
dc.identifierhttp://arxiv.org/abs/0709.1546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137718
dc.subjectCombinatorics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCombinatorics of the Dimer Model on a Strip
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