Enhancement of $d$-wave pairing in the striped phase with the nearest neighbour attraction

TL;DR

This study investigates how strong nearest neighbor attraction and stripe order influence $d$-wave pairing in the doped cuprates, revealing enhanced superconducting correlations due to these effects using quantum Monte Carlo simulations.

Contribution

It demonstrates that stripe patterns and strong nearest neighbor attraction significantly enhance $d$-wave pairing correlations in the Hubbard model.

Findings

Spin correlations peak near half-filling in interstripe regions.

Nearest neighbor attraction enhances $d$-wave pairing.

Stripe order plays a crucial role in superconductivity.

Abstract

Recently, the experimental results by the angle-resolved photoemission spectroscopy suggested that an additional strong nearest neighbor attraction in the Hubbard model might be significant to describe the properties of doped cuprates more accurately. The stripe-ordered patterns, formed by the inhomogeneous distribution of spin, charge and pairing correlations in the CuO$_{2}$ planes, is a known feature of doped cuprates. In this work, the effect of the nearest neighbor attraction and the stripe phase are examined by using the constrained path quantum Monte Carlo method within the repulsive Hubbard model on two-dimensional square lattice. The ground state spin correlations along and cross the stripe regions, and the $d$-wave pairing correlation are calculated. It is found that the spin-spin correlation is the highest when the interstripe region is fairly close to half-filling, and $d$-wave superconducting correlation on neighboring sites could be enhanced in the presence of stripe pattern and strong nearest neighbor attraction, which reveals their crucial roles on superconductivity in the doped cuprates.