Critical behavior of the pure and random-bond two-dimensional triangular Ising ferromagnet

2010/01/31 by Nikolaos G. Fytas, A. Malakis, Anastasios Malakis · 1 citation
Mathematics · Physics and Astronomy · #Bond #Business #Condensed matter physics #Ferromagnetism #Ising model #Markov Chains and Monte Carlo Methods #Materials science #Mathematics #Physics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.81.041109

published as Phys. Rev. E 81, 041109 (2010) · 10 pages, 8 figures, slightly revised version as accepted for publication in Phys. Rev. E

arxiv created 2010/03/18 · openalex publication_date 2010/04/14 · arxiv updated 2010/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same efficient two-stage Wang-Landau method. In the first part of our study, we present the finite-size scaling behavior of the pure model, for which we calculate the critical amplitude of the specific heat's logarithmic expansion. For the disordered system, the numerical data and the relevant detailed finite-size scaling analysis along the lines of the two well-known scenarios-logarithmic corrections versus weak universality--strongly support the field-theoretically predicted scenario of logarithmic corrections. A particular interest is paid to the sample-to-sample fluctuations of the random model and their scaling behavior that are used as a successful alternative approach to criticality.

Citations

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Cited by

• Self-averaging in the random two-dimensional Ising ferromagnet