Anisotropic Scaling in Layered Aperiodic Ising Systems
Statistical Mechanics
2009-10-28 v2
Abstract
The influence of a layered aperiodic modulation of the couplings on the critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induce anisotropic scaling. The anisotropy exponent z, given by the sum of the surface magnetization scaling dimensions, depends continuously on the modulation amplitude. Thus these systems are scale invariant but not conformally invariant at the critical point.
Cite
@article{arxiv.cond-mat/9501059,
title = {Anisotropic Scaling in Layered Aperiodic Ising Systems},
author = {B. Berche and P. E. Berche and M. Henkel and F. Igloi and P. Lajko and S. Morgan and L. Turban},
journal= {arXiv preprint arXiv:cond-mat/9501059},
year = {2009}
}
Comments
7 pages, 2 eps-figures, Plain TeX and epsf, minor corrections