Self-Consistent Random Phase Approximation - Application to the Hubbard Model for finite number of sites

Abstract

Within the 1D Hubbard model linear closed chains with various numbers of sites are considered in Self Consistent Random Phase Approximation (SCRPA). Excellent results with a minimal numerical effort are obtained for 2+4n sites cases, confirming earlier results with this theory for other models. However, the 4n sites cases need further considerations. SCRPA solves the two sites problem exactly. It therefore contains the two electrons and high density Fermi gas limits correctly.

17 pages, 17 figures

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Cited by in corpus (18)

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• A formally exact one-frequency-only Bethe-Salpeter-like equation. Similarities and differences between GW +BSE and self-consistent RPA
• Truncation scheme of time-dependent density-matrix approach
• Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model
• Sum-rules and Goldstone modes from extended RPA theories in Fermi systems with spontaneously broken symmetries
• Mean-Field Theory for Fermion Pairs and the ab initio Particle-Vibration-Coupling Approach
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Random phase approximation for the 1D anti-ferromagnetic Heisenberg model
• Coupled Self-Consistent RPA Equations for Even and Odd Particle Numbers. Tests with Solvable Models
• An exact solution to the Extended Hubbard Model in 2D for finite size system
• Off-site interaction effect in the Extended Hubbard Model with SCRPA method
• Linear response within the projection-based renormalization method: Many-body corrections beyond the random phase approximation
• The 1D Heisenberg antiferromagnet model by the variation after projection method
• Faddeev Random Phase Approximation applied to molecules
• Exact ground state for the four-electron problem in a 2D finite honeycomb lattice
• Ground State Energy of Extended Hubbard Model by self-consistent RPA