Monte Carlo coarse graining for the three-dimensional axial next-nearest-neighbor Ising model

The three-dimensional axial next-nearest-neighbor Ising (or ANNNI) model is studied using Monte Carlo techniques. Applying the coarse graining of distribution functions of the cell magnetization as well as standard analyses, the critical line from the ferromagnetic to the paramagnetic line is located, and critical exponents, in particular in the vicinity of the Lifshitz point, are estimated.