The extended Hubbard model with attractive interactions

Abstract

We discuss the phase diagram of the extended Hubbard model with both attractive and repulsive local and nonlocal interactions. The extended dynamical mean-field theory (EDMFT) and the dual boson method (DB) are compared. The latter contains additional nonlocal correlation effects that are not incorporated in EDMFT. We find that EDMFT and DB give almost identical results in the attractive $V$ regime, where phase separation occurs. This is quite a difference with the previously studied repulsive $V$ regime, where EDMFT and DB give very different phase boundaries for the checkerboard order phase, especially at small $U$.

To be submitted to the proceedings of CCP2017, to appear in Journal of Physics Conference Series (IOP); comments are welcome

References in corpus (16)

• Continuous-time Monte Carlo methods for quantum impurity models
• Non-standard Hubbard models in optical lattices: a review
• Fate of the false Mott-Hubbard transition in two dimensions
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• Superconductivity, antiferromagnetism and phase separation in the two-dimensional Hubbard model: A dual-fermion approach
• Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Doping driven metal-insulator transitions and charge orderings in the extended Hubbard model
• Precursors of the insulating state in the square lattice Hubbard model
• The Hubbard model with intersite interaction within the Composite Operator Method
• Fermi-liquid Landau parameters for a nondegenerate band: Spin and charge instabilities in the extended Hubbard model
• Phase diagrams of half-filled 1D and 2D extended Hubbard model within COM

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• Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Coexistence of $s$-wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions
• Charge instabilities of the extended attractive Hubbard Model on the cubic lattice
• Ab initio functional-independent calculations of the clamped Pockels tensor of tetragonal barium titanate
• Light Control of Triplet Pairing in Correlated Electrons with Mixed-Sign Interactions
• Itinerant magnetism in Hubbard models with long-range interactions