Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model
arXiv:0803.4051 · doi:10.1103/PhysRevB.78.045114
Abstract
We present a method to compute pairing fluctuations on top of the Gutzwiller approximation (GA). Our investigations are based on a charge-rotational invariant GA energy functional which is expanded up to second order in the pair fluctuations. Equations of motion for the fluctuations lead to a renormalized ladder type approximation. Both spectral functions and corrections to static quantities, like the ground-state energy, are computed. The quality of the method is examined for the single-band Hubbard model where we compare the dynamical pairing correlations for s- and d-wave symmetries with exact diagonalizations and find a significant improvement with respect to analogous calculations done within the standard Hartree-Fock ladder approximation. The technique has potential applications in the theory of Auger spectroscopy, superconductivity, and cold atom physics.
arXiv comment17 pages, 7 figures
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- Long-lived Higgs modes in strongly correlated condensates
- Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity