Boundary critical behaviour of two-dimensional random Ising models

F. Iglói, P. Lajkó, W. Selke, F. Szalma

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both surface and bulk critical properties are investigated. In particular, the critical exponents of the surface magnetization, β1, of the correlation length, ν, and of the critical surface correlations, η∥, are analysed.

Original languageEnglish
Pages (from-to)2801-2814
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number12
DOIs
Publication statusPublished - Mar 27 1998

Fingerprint

Ising model
Boundary Behavior
Critical Behavior
Ising Model
Monte Carlo Techniques
Correlation Length
Square Lattice
Magnetization
triangles
Critical Exponents
Stars
Triangle
Nearest Neighbor
Star
Phase Transition
Phase transitions
exponents
stars
magnetization

ASJC Scopus subject areas

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

Cite this

Boundary critical behaviour of two-dimensional random Ising models. / Iglói, F.; Lajkó, P.; Selke, W.; Szalma, F.

In: Journal of Physics A: Mathematical and General, Vol. 31, No. 12, 27.03.1998, p. 2801-2814.

Research output: Contribution to journalArticle

Iglói, F. ; Lajkó, P. ; Selke, W. ; Szalma, F. / Boundary critical behaviour of two-dimensional random Ising models. In: Journal of Physics A: Mathematical and General. 1998 ; Vol. 31, No. 12. pp. 2801-2814.
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