Dhar, Deepak ; Chandra, Samarth (2008) Exact entropy of dimer coverings for a class of lattices in three or more dimensions Physical Review Letters, 100 (12). 120602_1-120602_4. ISSN 0031-9007
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Official URL: http://prl.aps.org/abstract/PRL/v100/i12/e120602
Related URL: http://dx.doi.org/10.1103/PhysRevLett.100.120602
Abstract
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.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Physical Society. |
ID Code: | 9304 |
Deposited On: | 02 Nov 2010 12:32 |
Last Modified: | 16 May 2016 19:07 |
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