Anisotropic Scaling in Layered Aperiodic Ising Systems

Details Anisotropic Scaling in Layered Aperiodic Ising Systems Anisotropic Scaling in Layered Aperiodic Ising Systems

1995-01-14

arxiv.org/abs/cond-mat/9501059v2

J. Phys. A 28 (1995) L165-171

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 eps-figures, Plain TeX and epsf, minor corrections

Scientific paper

10.1088/0305-4470/28/5/004

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.

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