Robustness of antiferromagnetism in the Su-Schrieffer-Heeger Hubbard model

We recently unveiled that antiferromagnetism (AFM) order can be dominantly induced by the bond Su-Schrieffer-Heeger (SSH) electron-phonon coupling (EPC), which is beyond conventional wisdom AFM usually driven strong Coulomb interactions. Nevertheless, many aspects of interplay between EPC and electronic interactions on ordering remain unexplored. Here, we investigate Su-Schrieffer-Heeger-Hubbard (SSHH) model with SSH phonons on-site Hubbard large-scale quantum Monte Carlo (QMC) simulations obtain its ground-state phase diagram for various strength at half filling. Our results show further enhance EPC-induced AFM, especially small phonon frequency or in adiabatic limit, regime most relevant to materials. This could shed light understanding cooperative effect correlations