Effects of Su-Schrieffer-Heeger coupling in single band Hubbard square lattice

Intertwined spin and charge stripes have been identified as ubiquitous features of the cuprate phase diagram. These stripe correlations have also been observed in several state-of-the-art simulations of the single-band Hubbard model. However, numerous numerical analyses consistently predict the formation of charge order at lower temperatures than the spin order, contrary to the experimental results. This disparity hints at potential oversimplifications in the model. Prior research shows that including phonons via the Holstein mechanism in the hole underdoped and overdoped scenarios can significantly impact the stripe correlations. However, these studies have used phonon frequencies much higher than those in cuprates. Our research examines phonons' effects through the Su-Schrieffer-Heeger (SSH) coupling within the single-band Hubbard model using the Determinant Quantum Monte Carlo using realistic phonon energies. Preliminary results show SDW suppression and CDW stripe enhancement as coupling strength increases, suggesting that coupling to bond-stretching phonons may play an important role in stabilizing the stripe order.