Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2002-09-16
Phys. Rev. B 67, 085108 (2003)
Physics
Condensed Matter
Strongly Correlated Electrons
14 pages, 6 figures
Scientific paper
10.1103/PhysRevB.67.085108
We present a detailed study of the time-dependent Gutzwiller approximation for the Hubbard model. The formalism, labelled GA+RPA, allows us to compute random-phase approximation-like (RPA) fluctuations on top of the Gutzwiller approximation (GA). No restrictions are imposed on the charge and spin configurations which makes the method suitable for the calculation of linear excitations around symmetry-broken solutions. Well-behaved sum rules are obeyed as in the Hartree-Fock (HF) plus RPA approach. Analytical results for a two-site model and numerical results for charge-charge and current-current dynamical correlation functions in one and two dimensions are compared with exact and HF+RPA results, supporting the much better performance of GA+RPA with respect to conventional HF+RPA theory.
Becca Federico
Lorenzana Jose
Seibold G.
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