Interacting Fermions Picture for Dimer Models
Strongly Correlated Electrons
2015-06-12 v2 Mathematical Physics
math.MP
Probability
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.
Cite
@article{arxiv.1212.6155,
title = {Interacting Fermions Picture for Dimer Models},
author = {Pierluigi Falco},
journal= {arXiv preprint arXiv:1212.6155},
year = {2015}
}
Comments
4 pages, 2 figures, revised version for Physical Review E