Two-dimensional Ising model with self-dual biaxially correlated disorder

Farkas Á Bagaméry, Loïc Turban, Ferenc Iglói

Research output: Contribution to journalArticle

6 Citations (Scopus)


We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder, which has a correlator, G(r)∼r-1, represents a relevant perturbation according to the extended Harris criterion. Critical properties of the system are studied by large scale Monte Carlo simulations. The correlation length critical exponent ν=2.005(5) corresponds to that expected in a system with isotropic correlated long-range disorder, whereas the scaling dimension of the magnetization density xm=β ν=0.1294(7) is somewhat larger than in the pure system. Conformal properties of the magnetization and energy density profiles are also examined numerically.

Original languageEnglish
Article number094202
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number9
Publication statusPublished - Sep 1 2005

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Two-dimensional Ising model with self-dual biaxially correlated disorder'. Together they form a unique fingerprint.

  • Cite this