Renormalization of stripe correlations in hole-doped single-band Hubbard optical(bond) Su-Schrieffer-Heeger (H-SSH) model

Stripe correlations are a ubiquitous phenomenon in correlated materials yet their interplay with the superconductivity is poorly understood. Various state-of-the-art numerical techniques also predict the presence of spin and charge stripes in the Hubbard model; however, models consistently predict stronger spin correlations than those inferred experimentally. Further, experiments suggest that strong electron-phonon coupling may also be active in materials like the cuprates, yet their impact on stripes has not been widely explored and models used to date have largely focused on high-frequency phonons in the anti-adiabatic limit. We examine the Hubbard-SSH model, where phonons affect electron hopping integral, using Determinant Quantum Monte Carlo with a realistic phonon frequency. We find suppression of spin stripes, while suppression or enhancement of charge stripes depending on whether the phonon sits on the bonds (bond-SSH) or the sites (optical-SSH). Our work not only demonstrates the importance of phonons for such material, but also the importance of the microscopic details of the coupling mechanism for determining their interplay with stripes.