Anisotropic scaling in layered aperiodic Ising systems

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 magnetiz...

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Bibliographic Details
Published in:Journal of Physics A General Physics (1968-1972) 1995-03, Vol.28 (5), p.L165-L171
Main Authors: Berche, B, Berche, P -E, Henkel, M, Igloi, F, Lajko, P, Morgan, S, Turban, L
Format: Article
Language:English
Subjects:
Condensed Matter
Physics
Statistical Mechanics
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Summary: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.
ISSN:0305-4470
0022-3689
1361-6447
DOI:10.1088/0305-4470/28/5/004