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

Selke, W. and Shchur, L.N.
Technische Hochschule Aachen, Germany
Landau-Institute for Theoretical Physics, Chernogolovka, Russia

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.


cond-mat/0906.0721