Groupe de Physique Statistique/ Arbeitsgruppe Statistische Physik

Equipe 106, Institut Jean Lamour

                     
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Articles in peer-reviewed journals

Anisotropic scaling in layered aperiodic Ising systems
Berche B., Berche P.E., Henkel M., Igloi F., Lajko P., Morgan S., Turban L.
Journal of Physics A: Mathematical and General 28 (1995) L165
DOI : 10.1088/0305-4470/28/5/004
ArXiv : cond-mat/9501059 [PDF]
HAL : hal-00421996

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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