Data files for “Charge Order in the half-filled bond-Holstein Model”

Title: Charge order in the half-filled bond-Holstein model

Abstract: We use determinant quantum Monte Carlo to study the half-filled `bond-Holstein’ model on a square lattice. We find that the model exhibits a *CDW phase transition with a critical temperature $T_cdw$ considerably higher than that of the canonical `site-Holstein’ model. Using a finite-size scaling analysis of the charge structure factor $S_ cdw$, we obtain $T_cdw$ to greater than one percent accuracy. At the same time, local observables also show clear signatures consistent with the transition temperatures inferred from our scaling analysis. We attribute the enhanced *CDW tendencies to a phonon-mediated nearest-neighbor electron repulsion that is directly proportional to the dimensionless electron-phonon coupling $$ in the atomic ($t 0$) limit. This behavior contrasts with the site-Holstein case, where the same limit yields only an on-site attraction. We supplement our analysis with results from several unsupervised machine learning methods, which not only confirm our estimates of $T_cdw$ but also provide insight into the high-temperature crossover between a metallic and bipolaron liquid regime.

Ref: Physical Review B, in press.

Preprint: https://doi.org/10.48550/arXiv.2601.13121