Superconducting stripes in the hole-doped three-band Hubbard model

TL;DR

This study uses advanced tensor network methods to explore the ground state phases of the hole-doped three-band Hubbard model, revealing stripe order and its coexistence with superconductivity, with implications for understanding cuprate superconductors.

Contribution

First large-scale tensor network analysis of the three-band Hubbard model showing stripe states and their relation to superconductivity.

Findings

Period 4 stripe state with spin and weak charge order

Coexistence of $d$-wave superconductivity with stripe order

Competition between superconducting and non-superconducting stripe states

Abstract

We study the ground state properties of the hole-doped three-band Hubbard (Emery) model, describing the copper-oxygen planes of the cuprates, using large-scale 2D tensor network calculations. Our simulations reveal a period 4 stripe state with spin and weak charge order over an extended doping range beyond $\delta\sim0.12$ and stripes with larger periods at smaller doping. The period 4 stripe exhibits coexisting $d$-wave superconductivity in the doping range $0.15 \lesssim \delta < 0.25$, while at smaller doping around $\delta \sim 1/8$ we find a strong competition between superconducting and non-superconducting stripes, including also pair density-wave states with alternating sign structure on neighboring stripes, suggesting that the fate of superconductivity around 1/8 doping may be sensitive on the model parameters.