I will present a generalization to superconducting states of the rotationally invariant (i.e., basis-independent) slave-boson representation of interacting fermion systems.
The present formalism allows to study, at mean-field level, the low-energy physics of multi-orbital models characterized by local pairing superconductivity. We apply the formalism to a specific three-band Hubbard model that has been introduced to understand the role of strong correlations in alkali-doped fullerides, where superconductivity is mediated by local molecular vibrations. The method allows to treat on the same footing the strong correlation effects and the interorbital interactions driving superconductivity, capturing the physics of strongly correlated superconductivity, in which the proximity to a Mott transition favours the superconducting phenomenon. Extensions of this method to non-equilibrium situations are also possible.
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