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Superconducting phase diagram of the paramagnetic one-band Hubbard model

arXiv:1605.07119 · doi:10.1007/s10948-016-3758-x

Abstract

We study spin-fluctuation-mediated superconductivity in the one-band Hubbard model. Higher order effective interactions in $U$ give rise to a superconducting instability which is very sensitive to changes in the Fermi surface topology arising as a function of doping and changes in the band structure. We show the superconducting phase diagram as a function of doping and next-nearest neighbor hopping in the limit of very small Coulomb interaction strength and discuss peculiarities arising at the phase boundaries separating different superconducting domains.

6 pages, 4 figures