Surface Magnetisation and Surface Correlations in Aperiodic Ising Models
摘要
We consider the surface critical behaviour of diagonally layered Ising models on the square lattice where the inter-layer couplings follow some aperiodic sequence. The surface magnetisation is analytically evaluated from a simple formula derived by the diagonal transfer matrix method, while the surface spin-spin correlations are obtained numerically by a recursion method, based on the star-triangle transformation. The surface critical behaviour of different aperiodic Ising models are found in accordance with the corresponding relevance-irrelevance criterion. For marginal sequences the critical exponents are continuously varying with the strength of aperiodicity and generally the systems follow anisotropic scaling at the critical point.
引用
@article{arxiv.cond-mat/9606058,
title = {Surface Magnetisation and Surface Correlations in Aperiodic Ising Models},
author = {Ferenc Igloi and Peter Lajko},
journal= {arXiv preprint arXiv:cond-mat/9606058},
year = {2009}
}
备注
17 pages plain TeX, 4 Figures upon request, J. Phys. A (in print)