Monte Carlo study of the Falicov—Kimball model:implementation of the histogram method

摘要

We show that the histogram method that is widely used inthe Monte Carlo simulations for the Ising model, can also beimplemented in the simulations carried out for the Falicov-Kimball model. We estimate the systematic errors arising from application of this method and discuss the regimes of modelparameters, where these errors are minimal. We apply the his-togram method for determining the transition temperature anddemonstrate significant advantages over standard simulations.