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

W. Selke, L.N. Shchur

Phys. Rev. E 80 (2009) 042104

arXiv:0906.0721 [cond-mat.stat-mech]

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.

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