Spin Susceptibility Representation of the Pairing Interaction for the Two-Dimensional Hubbard Model

Abstract

Using numerical dynamic cluster quantum Monte Carlo results, we study a simple approximation for the pairing interaction of a two-dimensional Hubbard model with an on-site Coulomb interaction $U$ equal to the bandwidth. We find that with an effective temperature dependent coupling $Ub(T)$ and the numerically calculated spin susceptibility $chi(K-K')$, the d-wave pairing interaction is well approximated by $frac{3}{2} Ub^2chi(K-K')$.