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Possibility of unconventional pairing due to Coulomb interaction iniron-pnictide superconductors is studied by applying a perturbative approach torealistic 2- and 5-band Hubbard models. The linearized Eliashberg equation issolved by expanding the effective pairing interaction perturbatively up tothird order in the on-site Coulomb integrals. The numerical results for the5-band model suggest that the eigenvalues of the Eliashberg equation aresufficiently large to explain the actual high Tc for realistic values ofCoulomb interaction and the most probable pairing state is spin-singlet s-wavewithout any nodes just on the Fermi surfaces, although the superconductingorder parameter changes its sign between the small Fermi pockets. On the otherhand the 2-band model is quite insufficient to explain the actual high Tc.

journal of the physical society of japan

Possibility of Unconventional Pairing Due to Coulomb Interaction in  Fe-Based Pnictide Superconductors: Perturbative Analysis of Multi-Band  Hubbard Models