The critical Binder cumulant in a two--dimensional anisotropic Ising model with competing interaction

Abstract

The Binder cumulant at the phase transition of Ising models on square lattices with ferromagnetic couplings between nearest neighbors and with competing antiferromagnetic couplings between next--nearest neighbors, along only one diagonal, is determined using Monte Carlo techniques. In the phase diagram a disorder line occurs separating regions with monotonically decaying and with oscillatory spin--spin correlations. Findings on the variation of the critical cumulant with the ratio of the two interaction strengths are compared to related recent results based on renormalization group calculations.

4 pages, 4 figures

References in corpus (5)

• Critical Binder cumulant in two-dimensional anisotropic Ising models
• Critical Binder cumulant of two-dimensional Ising models
• Critical Binder cumulant for isotropic Ising models on square and triangular lattices
• Diversity of critical behavior within a universality class
• Test of Universality in Anisotropic 3D Ising Model

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