Spin Susceptibility Representation of the Pairing Interaction for the two-dimensional Hubbard Model

TL;DR

This paper demonstrates that the d-wave pairing interaction in a 2D Hubbard model can be effectively approximated using a temperature-dependent coupling and the spin susceptibility, based on quantum Monte Carlo data.

Contribution

It introduces a simple approximation for the pairing interaction using numerical spin susceptibility and an effective temperature-dependent coupling in the 2D Hubbard model.

Findings

The approximation accurately captures the pairing interaction.

The effective coupling $ar{U}(T)$ varies with temperature.

The approach simplifies understanding of pairing mechanisms.

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 $\frac{3}{2} \Ub^2\chi(K-K')$.