Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-06-03
Phys. Rev. E 80 (2009) 042104
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures
Scientific paper
10.1103/PhysRevE.80.042104
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.
Selke Walter
Shchur Lev N.
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