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Dimers on the kagome lattice II: Correlations and the Grassmannian approach

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  • Wang, Fa
  • Wu, F.Y.

Abstract

In this paper we continue our consideration of closed-packed dimers on the kagome lattice. Using the Pfaffian approach we evaluate the correlation between dimers on two lattice edges. It is found that the correlation is extremely short-ranged in the case of symmetric dimers weights. Explicit expressions for the nonvanishing correlations are obtained for two dimers in the interior of a large lattice. We also describe a Grassmannian functional integral approach, and use it to evaluate the dimer generating function and correlation functions.

Suggested Citation

  • Wang, Fa & Wu, F.Y., 2008. "Dimers on the kagome lattice II: Correlations and the Grassmannian approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4157-4162.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:16:p:4157-4162
    DOI: 10.1016/j.physa.2008.02.030
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    1. Wu, F.Y. & Wang, Fa, 2008. "Dimers on the kagome lattice I: Finite lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4148-4156.
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