Radial Fredholm perturbation in the two-dimensional Ising model and gap-exponent relation

D. Karevski, L. Turban, F. Igloi

Research output: Contribution to journalArticle

2 Citations (Scopus)


We consider concentric circular defects in the two-dimensional Ising model, which are distributed according to a generalized Fredholm sequence, i.e. at exponentially increasing radii. This type of aperiodicity does not change the bulk critical behaviour but introduces a marginal extended perturbation. The critical exponent of the local magnetization is obtained through finite-size scaling, using a corner transfer matrix approach in the extreme anisotropic limit. It varies continuously with the amplitude of the modulation and is closely related to the magnetic exponent of the radial Hilhorst-van Leeuwen model. Through a conformal mapping of the system onto a strip, the gap-exponent relation is shown to remain valid for such an aperiodic defect.

Original languageEnglish
Article number013
Pages (from-to)3925-3934
Number of pages10
JournalJournal of Physics A: Mathematical and General
Issue number14
Publication statusPublished - Dec 1 1995

ASJC Scopus subject areas

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

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