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



We show that the histogram method that is widely used in the Monte Carlo simulations for the Ising model, can also be implemented 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 model parameters, where these errors are minimal. We apply the histogram method for determining the transition temperature and demonstrate significant advantages over standard simulations (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)