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

Fa Wang and F.Y. Wu

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 16, 4157-4162

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.

Keywords: Kagome lattice; Close-packed dimers; Correlation function; Grassmannian approach (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:16:p:4157-4162

DOI: 10.1016/j.physa.2008.02.030

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