LETTER TO THE EDITOR: Critical Binder cumulant in two-dimensional anisotropic Ising models

The Binder cumulant at the phase transitions 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 of relating 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.