Non-Local Finite-Size Effects in the Dimer Model
Abstract
We study the finite-size corrections of the dimer model on square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of , and show that, because of certain non-local features present in the model, a change of parity of induces a change of boundary condition. Taking a careful account of this, these unusual finite-size behaviours can be fully explained in the framework of the logarithmic conformal field theory.
Keywords
Cite
@article{arxiv.cond-mat/0701075,
title = {Non-Local Finite-Size Effects in the Dimer Model},
author = {Nickolay Sh. Izmailian and Vyatcheslav B. Priezzhev and Philippe Ruelle},
journal= {arXiv preprint arXiv:cond-mat/0701075},
year = {2008}
}
Comments
This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/