Surface magnetization and surface correlations in aperiodic Ising models

F. Iglói, Péter Lajkó

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider the surface critical behaviour of diagonally layered Ising models on the square lattice where the inter-layer couplings follow some aperiodic sequence. The surface magnetization is analytically evaluated from a simple formula derived by the diagonal transfer matrix method, while the surface spin-spin correlations are obtained numerically by a recursion method, based on the star-triangle transformation. The surface critical behaviour of different aperiodic Ising models is found in accordance with the corresponding relevance-irrelevance criterion. For marginal sequences the critical exponents are continuously varying with the strength of aperiodicity and generally the systems follow anisotropic scaling at the critical point.

Original languageEnglish
Pages (from-to)4803-4814
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume29
Issue number16
DOIs
Publication statusPublished - 1996

Fingerprint

Ising model
Magnetization
Ising Model
magnetization
Critical Behavior
Transfer matrix method
Transfer Matrix Method
Diagonal matrix
Square Lattice
Recursion
triangles
matrix methods
Critical Exponents
Stars
Triangle
Critical point
Star
critical point
exponents
Scaling

ASJC Scopus subject areas

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

Cite this

Surface magnetization and surface correlations in aperiodic Ising models. / Iglói, F.; Lajkó, Péter.

In: Journal of Physics A: Mathematical and General, Vol. 29, No. 16, 1996, p. 4803-4814.

Research output: Contribution to journalArticle

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