Exact entropy of dimer coverings for a class of lattices in three or more dimensions

Details Exact entropy of dimer coverings for a class of lattices in three or more dimensions Exact entropy of dimer coverings for a class of lattices in three or more dimensions

2007-11-07

arxiv.org/abs/0711.0971v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures; added results on partition function when different edges have different weights; modified abstract; added

Scientific paper

10.1103/PhysRevLett.100.120602

We construct a class of lattices in three and higher dimensions for which the number of dimer coverings can be determined exactly using elementary arguments. These lattices are a generalization of the two-dimensional kagome lattice, and the method also works for graphs without translational symmetry. The partition function for dimer coverings on these lattices can be determined also for a class of assignments of different activities to different edges.

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