Anisotropic scaling in layered aperiodic Ising systems

B. Berche, P. E. Berche, M. Henkel, F. Igloi, P. Lajko, S. Morgan, L. Turban

Research output: Article

22 Citations (Scopus)


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.

Original languageEnglish
Article number004
Pages (from-to)L165-L171
JournalJournal of Physics A: Mathematical and General
Issue number5
Publication statusPublished - dec. 1 1995


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Berche, B., Berche, P. E., Henkel, M., Igloi, F., Lajko, P., Morgan, S., & Turban, L. (1995). Anisotropic scaling in layered aperiodic Ising systems. Journal of Physics A: Mathematical and General, 28(5), L165-L171. [004].