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
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.