English

On weak vs. strong universality in the two-dimensional random-bond Ising ferromagnet

Condensed Matter 2009-10-28 v1

Abstract

We address the issue of universality in two-dimensional disordered Ising systems, by considering long, finite-width strips of ferromagnetic Ising spins with randomly distributed couplings. We calculate the free energy and spin-spin correlation functions (from which averaged correlation lengths, ξave\xi^{ave}, are computed) by transfer-matrix methods. An {\it ansatz} for the size-dependence of logarithmic corrections to ξave\xi^{ave} is proposed. Data for both random-bond and site-diluted systems show that pure system behaviour (with ν=1\nu=1) is recovered if these corrections are incorporated, discarding the weak--universality scenario.

Keywords

Cite

@article{arxiv.cond-mat/9608083,
  title  = {On weak vs. strong universality in the two-dimensional random-bond Ising ferromagnet},
  author = {F. D. A. Aarão Reis and S. L. A. de Queiroz and Raimundo R. dos Santos},
  journal= {arXiv preprint arXiv:cond-mat/9608083},
  year   = {2009}
}

Comments

RevTeX code, 4 pages plus 2 Postscript figures; to appear in Physical Review B Rapid Communications

R2 v1 2026-07-22T11:54:11.942Z