Electron localization in 2D extended Hubbard model

We use the Dynamical Cluster Approximation to study the finite temperature phase transitions in 2D extended Hubbard model. We find that non-local electron-electron interactions screen the local Hubbard interactions, stabilizing the Mott metal-insulator transition in 2D extended Hubbard model. We also investigate the effect of the temperature and non-local interactions on the competition between antiferromagnetism and charge order. We show that non-local correlations are important, and hence the non-local methods are needed for proper analysis of the phase transitions in this model.