Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies

TL;DR

This study investigates superconductivity in the extended Hubbard model, revealing coexistence with antiferromagnetic order, $d$-wave pairing, and a doping-dependent $T_c$, aligning with experimental observations in cuprates.

Contribution

It demonstrates that the extended Hubbard model can reproduce key features of cuprate superconductors, including $d$-wave pairing and the $T_c$ dome, using mean-field analysis.

Findings

Coexistence of superconducting and antiferromagnetic orders across doping levels.

$d$-wave pairing symmetry observed in the model.

$T_c$ shows a dome-shaped dependence on doping.

Abstract

The enigma of unconventional superconductivity in doped cuprates presents a formidable challenge in the realm of condensed matter physics. Recent findings of strong near-neighbor attractions in one-dimensional cuprate chains suggest a new avenue for investigating cuprate superconductors. Consequently, we revisited the superconductivity in the extended Hubbard model at the mean-field level. Anticipating a prevalence of antiferromagnetic order due to strong local Coulomb repulsion, our calculations reveal the coexistence of superconducting and antiferromagnetic orders across a wide range of doping at sufficiently low temperatures. The mean-field results capture some key features of cuprate superconductors, including $d$-wave pairing symmetry, a dome-shaped dependence of $T_c$ on doping, and higher superconducting transition temperatures. Additionally, we observed a nearly proportional relationship between $T_c$ and the strength of the nearest-neighbor attraction, reminiscent of experimental findings at the FeSe/SrTiO3 interface. The mean-field results suggest that the extended Hubbard model could be the appropriate framework for investigating cuprate superconductivity and offer insights for more precise calculations within this model in future.