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

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.

10 pages, 8 figures, slightly revised version as accepted for publication in Phys. Rev. E

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• On the non-convergence of the Wang-Landau algorithms with multiple random walkers
• Wang-Landau study of the 3D Ising model with bond disorder
• Dynamic phase transitions on the kagome Ising ferromagnet
• Two-dimensional Ising model on random lattices with constant coordination number
• Random-field Ising model: Insight from zero-temperature simulations
• Intrinsic convergence properties of entropic sampling algorithms
• Self-averaging in the random 2D Ising ferromagnet
• Relevance of topological disorder on the directed percolation phase transition