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Article overview
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Close-packed dimers on the kagome lattice: Finite lattices and the Grassmannian approach | | Fa Wang
; F. Y. Wu
; | | Date: |
29 Nov 2007 | | Abstract: | In a recent paper [ F. Wang and F. Y. Wu, Phys. Rev. E 75 (2007) 040105(R) ]
we reported exact results on the enumeration of close-packed dimers on an
infinite kagome lattice. We computed the per-dimer free energy using both the
Pfaffian approach and a vertex-model formulation. We also reported results on
dimer-dimer correlations without giving details. In this paper we present
details of the correlation function analysis. In addition, we extend the exact
enumeration to finite lattices under two different boundary conditions and to
asymmetric dimer weighs. For symmetric dimer weights the results are simple,
and we show that they can be understood using a spin variable mapping. We also
describe the formulation of a Grassmannian functional integral approach and
apply it to the kagome lattice. | | Source: | arXiv, 0711.4788 | | Services: | Forum | Review | PDF | Favorites | |
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