Anisotropic scaling in layered aperiodic Ising systems

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

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

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
JournalJournal of Physics A: Mathematical and General
Volume28
Issue number5
DOIs
Publication statusPublished - 1995

Fingerprint

Ising model
Amplitude modulation
Ising
Magnetization
Anisotropy
Modulation
Scaling
scaling
Scale Invariant
Critical Behavior
Ising Model
Critical point
critical point
Exponent
exponents
Perturbation
modulation
perturbation
magnetization
anisotropy

ASJC Scopus subject areas

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

Cite this

Anisotropic scaling in layered aperiodic Ising systems. / Berche, B.; Berche, P. E.; Henkel, M.; Iglói, F.; Lajko, P.; Morgan, S.; Turban, L.

In: Journal of Physics A: Mathematical and General, Vol. 28, No. 5, 004, 1995.

Research output: Contribution to journalArticle

Berche, B. ; Berche, P. E. ; Henkel, M. ; Iglói, F. ; Lajko, P. ; Morgan, S. ; Turban, L. / Anisotropic scaling in layered aperiodic Ising systems. In: Journal of Physics A: Mathematical and General. 1995 ; Vol. 28, No. 5.
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