First-order metal-insulator transitions in the extended Hubbard model due to self-consistent screening of the effective interaction

Abstract

While the Hubbard model is the standard model to study Mott metal-insulator transitions, it is still unclear to which extent it can describe metal-insulator transitions in real solids, where non-local Coulomb interactions are always present. By using a variational principle, we clarify this issue for short- and long-ranged non-local Coulomb interactions for half-filled systems on bipartite lattices. We find that repulsive non-local interactions generally stabilize the Fermi-liquid regime. The metal-insulator phase boundary is shifted to larger interaction strengths to leading order linearly with non-local interactions. Importantly, non-local interactions can raise the order of the metal-insulator transition. We present a detailed analysis of how the dimension and geometry of the lattice as well as the temperature determine the critical non-local interaction leading to a first-order transition: for systems in more than two dimensions with non-zero density of states at the Fermi energy the critical non-local interaction is arbitrarily small; otherwise it is finite.

10 pages, 11 figures

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• Exploring the role of nonlocal Coulomb interactions in perovskite transition metal oxides
• Thermodynamics of the metal-insulator transition in the extended Hubbard model from determinantal quantum Monte Carlo
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Thermodynamic Stability at the Two-Particle Level
• Metal-insulator transition and antiferromagnetism in the generalized Hubbard model: Treatment of correlation effects
• Second-order phase transitions and divergent linear response in dynamical mean-field theory
• The extended Hubbard model on a honeycomb lattice
• Charge Collective Modes in Correlated Electron Systems: Plasmons Beyond the Random Phase Approximation
• Exact functional integration of radial and complex slave-boson fields: thermodynamics and dynamics of the two-site extended Hubbard model
• Nonlocal Exchange Interactions in Strongly Correlated Electron Systems