Magnetic critical behavior of the three-dimensional Ising model by entropic sampling in dominant energy subspaces

We apply a new entropic scheme to study the critical behavior of the three-dimensional (3D) Ising model on a cubic lattice. This method (CrMES entropic sampling scheme) has been recently shown to be an efficient and accurate alternative to the traditional Metropolis method. It utilizes a Wang-Landau (WL) random walk in an appropriately chosen dominant energy subspace. Via this process it generates, in one-run, good approximations for the density of energy states and the microcanonical estimators of the magnetic properties of the system by updating (E,M) histograms during the high-level WL iterations. Applying this procedure we present a convincing finite-size analysis of the magnetic critical behavior of the 3D Ising model and we estimate the relevant critical exponents. Finally, the far tail regime of the order-parameter probability distribution is discussed.