Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model

Details Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model Dynamical mean-field theory and numerical renormalization group study of superconductivity in the attractive Hubbard model

2009-01-13

arxiv.org/abs/0901.1760v2

Phys. Rev. B 79, 214518 (2009).

Physics

Condensed Matter

Superconductivity

17 pages, 12 figures; (with amendments in section VI)

Scientific paper

10.1103/PhysRevB.79.214518

We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of effective impurity models with superconducting symmetry breaking. We give details of this extension and validate our calculations with DMFT results with antiferromagnetic ordering. We also present results for static and integrated quantities for different filling factors in the crossover from weak (BCS) to strong coupling (BEC) superfluidity. We study the evolution of the single-particle spectra throughout the crossover regime. Although the DMFT does not include the interaction of the fermions with the Goldstone mode, we find strong deviations from the mean-field theory in the intermediate and strong coupling (BEC) regimes. In particular, we show that low-energy charge fluctuations induce a transfer of spectral weight from the Bogoliubov quasiparticles to a higher-energy incoherent hump.

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