A model of marginal Fermi liquid superconductor at two dimensions

Abstract

In this paper we study a model of s-wave marginal Fermi liquid superconductor at two dimensions. Besides the usual Bardeen-Cooper-Schrieffer(BCS) point attractive interaction, the fermions in our system also interact {\em via} a long range repulsive interaction $v(q)=g_D/q^2$. We find that although superconductivity is not destroyed by the long-ranged repulsion interaction (demonstrated by the existence of Meissner effect), nevertheless the BCS pairing function ${\Delta }_{BCS}$ is strongly suppressed resulting in power-law correlation $<{\Delta }_{BCS}(\vec{x}){\Delta }_{BCS}(0)>\sim |\vec{x}{|}^{-2\gamma }$. This observation is explained within a general picture of marginal Fermi liquid.

10 pages