Mesoscopic Wigner crystallization in two dimensional lattice models

To appear in the proceedings of the XXXVIth Rencontres de Moriond edited by T. Martin and G. MontambauxThe quantum-classical crossover from the Fermi liquid towards the Wigner solid is numerically revisited, considering small square lattice models where electrons interact via a Coulomb $U/r$ potential. The studies of models without disorder and spin and including disorder and spin show that the electron solid is formed in two stages, giving rise to an intriguing solid-liquid regime at intermediate coupling