Critical Binder cumulant in two-dimensional anisotropic Ising models

Selke, W.; Shchur, L.N.
Institut für Theoretische Physik, Technische Hochschule Aachen,
D-52056 Aachen, Germany; Landau Institute, Chernogolovka, Russia


The Binder cumulant at the phase transition of Ising models on square lattices with various ferromagnetic nearest and next--nearest neighbour couplings is determined using mainly Monte Carlo techniques. We discuss the possibility to relate the value of the critical cumulant in the isotropic, nearest neighbour and in the anisotropic cases to each other by means of a scale transformation in rectangular geometry, to pinpoint universal and nonuniversal features.