1212.6155 (Pierluigi Falco)

Interacting Fermions Picture for Dimer Models    [PDF]

Pierluigi Falco

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.

View original: http://arxiv.org/abs/1212.6155