Suppression of stripe correlations in single-band Hubbard-Su Schrieffer Heeger(SSH) model

Spin and charge stripes have been identified as ubiquitous features in strongly correlated materials such as superconducting cuprates and nickelates. While stripe correlations are also predicted by several state-of-the-art simulations of the single-band Hubbard model, very little is known about how the electron-phonon (e-ph) interaction influences them. Prior research shows that including phonons via the Holstein mechanism can significantly impact the stripe correlations. However, the phonon frequencies used were much higher than the actual modes in the actual materials. Motivated by this, we use determinant Quantum Monte Carlo to examine the phonons' effects through the (bond) Su-Schrieffer-Heeger (SSH) coupling within the single-band Hubbard model. We can treat realistic phonon energies using state-of-the-art sampling techniques for the phonon fields. We find that the e-ph coupling significantly suppresses the correlations; however, the incommensurability of the spin and charge modulations remains intertwined over a wide range of couplings.