Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model

Details Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model

2008-03-28

arxiv.org/abs/0803.4051v1

Phys. Rev. B 78, 045114 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 7 figures

Scientific paper

10.1103/PhysRevB.78.045114

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.

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