ANISOTROPIC SCALING IN LAYERED APERIODIC ISING SYSTEMS

Citation
B. Berche et al., ANISOTROPIC SCALING IN LAYERED APERIODIC ISING SYSTEMS, Journal of physics. A, mathematical and general, 28(5), 1995, pp. 165-171
Citations number
26
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
5
Year of publication
1995
Pages
165 - 171
Database
ISI
SICI code
0305-4470(1995)28:5<165:ASILAI>2.0.ZU;2-3
Abstract
The influence of a layered aperiodic modulation of the couplings on th e critical behaviour of the two-dimensional Ising model is studied in the case of marginal perturbations. The aperiodicity is found to induc e 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 n ot conformally invariant at the critical point.