Competing spin waves and superconducting fluctuations in strongly correlated electron systems

Abstract

A special diagram technique recently proposed for strongly correlated electron systems is used to study the pecularities of a spindensity-wave (SDW) in competition with superconductivity. This method allows to formulate the Dyson equations for the renormalized electron propagators of the coexisting phases of SDW antiferromagnetism and superconductivity. We _nd the surprising result that triplet supercondctivity appears provided that we have coexistence of singlet superconductivity and SDW antiferromagnetism. A special ansatz, which takes into account the full Green's functions as well as the dynamical structure of the correlations, is used to establish the equations determining the gap functions and order parameters.