Self consistent calculation of D-wave superconductivity in Hubbard model

Abstract

Self consistent calculations of super-conductivity, including spin and charge fluctuations in a 2-dimensional Hubbard model, give a finite gap with d x 2-y 2 symmetry and a T c =0.016 times the in plane hopping (t) for Hubbard U very near the antiferromagnetic transition. The Stoner enhancement factors in the incommensurate peak of the imaginary part of the spin susceptibility in the 2-D Brillouin zone is found to be of order 150 to 200 and its absolute value at T c is close to the recently measured value for LaSrCuO but it is found to decrease faster with temperature than indicated in experiments.