A mixed mean - field / BCS phase with an energy gap at high T c

A mixed mean-field/BCS phase with an energy gap at high T c Abstract We construct a pair potential which in a scaling limit leads to a Hamiltonian that generates co-existing mean-field and superconducting phases. Depending on the relative values of the coupling constants, the superconducting phase may exist at arbitrarily high temperatures. ⋆ Work supported in part by " Fonds zur Förderung der wissenschaftlichen Forschung in¨Osterreich " under grant P11287–PHY;