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arXiv · 1212.6155

Interacting Fermions Picture for Dimer Models

Pierluigi Falco
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Abstract

Recent numerical results on classical dimers with weak aligning interactions have been theoretically justified via a Coulomb Gas representation of the height random variable. Here we propose a completely different representation, the Interacting Fermions Picture, which avoids some difficulties of the Coulomb Gas approach and provides a better account of the numerical findings. Besides, we observe that Peierls' argument explains the behavior of the system in the strong interaction case.

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Pierluigi Falco. 2013-05-31. Interacting Fermions Picture for Dimer Models. https://doi.org/10.1103/physreve.87.060101

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