title: Enhancement of superconductivity near a nematic quantum critical point.
abstract: We consider a low T_{c} metallic superconductor weakly coupled to the soft fluctuations associated with proximity to a nematic quantum critical point (NQCP). We show that (1) a BCS-Eliashberg treatment remains valid outside of a parametrically narrow interval about the NQCP, (2) the symmetry of the superconducting state (d wave, s wave, p wave) is typically determined by the noncritical interactions, but T_{c} is enhanced by the nematic fluctuations in all channels, and (3) in 2D, this enhancement grows upon approach to criticality up to the point at which the weak coupling approach breaks down, but in 3D, the enhancement is much weaker.
authors: Department of Physics, Stanford University, Stanford, California 94305, USA.
authors: S
authors: S
authors: Lederer
authors: Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
authors: Y
authors: Y
authors: Schattner
authors: Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
authors: E
authors: E
authors: Berg
authors: Department of Physics, Stanford University, Stanford, California 94305, USA.
authors: S A
authors: SA
authors: Kivelson