Dynamical cluster approximation study of electron localization in the extended Hubbard model

We perform a detailed study of the phase transitions and mechanisms electron localization in extended Hubbard model using dynamical cluster approximation on $2\times 2$ cluster. explore interplay charge order Mott physics. find that nearest-neighbor Coulomb interaction $V$ causes "screening" effects close to transition, pushing boundary larger values $U$. also demonstrate different correlations metallic insulating regimes document correlation aspects states.