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

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 two-dimensional tensor network calculations. Our simulations reveal a period 4 stripe state with spin and weak charge order over an extended doping range beyond 𝛿 ∼ 0.12 and stripes with larger periods at smaller doping. The period 4 stripe exhibits coexisting 𝑑-wave superconductivity in the doping range 0.15 ≲ 𝛿 < 0.25, while at smaller doping around 𝛿 ∼ 1/8 we find a strong competition between superconducting and nonsuperconducting stripes, including also pair density-wave states with an alternating sign structure on neighboring stripes, suggesting that the fate of superconductivity around 1/8 doping may be sensitive on the model parameters.