Low Dimensional Ordering on a Lattice Model
Condensed Matter
2009-10-30 v1
Abstract
A simple d-dimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d=2 the model is shown to be equivalent to the standard two-dimensional Ising model, while for d>2 it describes a peculiar transition from an isotropic high temperature phase to a low-dimensional anisotropic low temperature state. A general mean field analysis is presented and compared to some exact limit properties.
Cite
@article{arxiv.cond-mat/9701047,
title = {Low Dimensional Ordering on a Lattice Model},
author = {Fabio Siringo},
journal= {arXiv preprint arXiv:cond-mat/9701047},
year = {2009}
}
Comments
11 pages, 2 PostScript figures, to appear in Phys. Lett. A