Gutzwiller variational wave function for multi-orbital Hubbard models in finite dimensions

Abstract

We develop a diagrammatic method for the evaluation of general multi-band Gutzwiller wave functions in finite dimensions. Our approach provides a systematic improvement of the widely used Gutzwiller approximation. As a first application we investigate itinerant ferromagnetism and correlation-induced deformations of the Fermi surface for a two-band Hubbard model on a square lattice.

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• Superconductivity in the three-band model of cuprates: Variational wave function study and relation to the single-band case
• Mechanism for transitions between ferromagnetic and antiferromagnetic orders in $d$-electron metallic magnets
• Coexistence of Nematic Order and Superconductivity in the Hubbard Model
• Superconductivity in the three-band model of cuprates: nodal direction characteristics and influence of intersite interactions
• Superconductivity and intra-unit-cell electronic nematic phase in the three-band model of cuprates
• Gutzwiller variational approach to the two-impurity Anderson model at particle-hole symmetry
• Extending the Gutzwiller approximation to intersite interactions
• Approximation schemes for the study of multi-band Gutzwiller wave functions