Dyson equation approach to many-body Green's functions and self-consistent RPA : application to the Hubbard model - IN2P3 - Institut national de physique nucléaire et de physique des particules Access content directly
Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 1999

Dyson equation approach to many-body Green's functions and self-consistent RPA : application to the Hubbard model

Abstract

A new approach, based on the so-called Self-Consistent RPA, is developed for particle-hole correlation functions. 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.

Dates and versions

in2p3-00005066 , version 1 (25-01-1999)

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Cite

S. Schaefer, P. Schuck. Dyson equation approach to many-body Green's functions and self-consistent RPA : application to the Hubbard model. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 1999, 59, pp.1712-1733. ⟨10.1103/PhysRevB.59.1712⟩. ⟨in2p3-00005066⟩
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