Surface Magnetisation and Surface Correlations in Aperiodic Ising Models

Details Surface Magnetisation and Surface Correlations in Aperiodic Ising Models Surface Magnetisation and Surface Correlations in Aperiodic Ising Models

1996-06-10

arxiv.org/abs/cond-mat/9606058v1

Physics

Condensed Matter

17 pages plain TeX, 4 Figures upon request, J. Phys. A (in print)

Scientific paper

10.1088/0305-4470/29/16/007

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.

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