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 $\chi (K-K^{\prime })$, the d-wave pairing interaction is well approximated by $\frac{3}{2} \Ub^2χ(K-K')$.

arXiv comment5 pages, 7 figures

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