Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-04-02
Phys. Rev. B 59, 1712-1733 (1999)
Physics
Condensed Matter
Strongly Correlated Electrons
35 pages, 18 Figures, Feynman diagrams as 10 additional eps-files, revised and enhanced version, accepted in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.59.1712
An approach for particle-hole correlation functions, based on the so-called SCRPA, is developed. This leads to a fully self-consistent RPA-like theory which satisfies the $f$-sum rule and several other theorems. As a first step, a simpler self-consistent approach, the renormalized RPA, is solved numerically in the one-dimensional Hubbard model. The charge and the longitudinal spin susceptibility, the momentum distribution and several ground state properties are calculated and compared with the exact results. Especially at half filling, our approach provides quite promising results and matches the exact behaviour apart from a general prefactor. The strong coupling limit of our approach can be described analytically.
Schäfer Steffen
Schuck Peter
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