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Theoretical studies suggest that Su-Schrieffer-Heeger-like electron-phonon($e$-ph) interactions can mediate high-temperature bipolaronicsuperconductivity that is robust against repulsive electron-electroninteractions. Here we present a comparative analysis of the pairing andcompeting charge/bond correlations in the two-dimensional Holstein and opticalSu-Schrieffer-Heeger (SSH) models using numerically exact determinant quantumMonte Carlo. We find that the SSH interactions support light bipolarons andstrong superconducting correlations out to relatively large values of the$e$-ph coupling $\lambda$ and densities near half-filling, while the Holsteininteraction does not due to the formation of heavy bipolarons and competingcharge-density-wave order. We further find that the Holstein and SSH modelshave comparable pairing correlations in the weak coupling limit for carrierconcentrations $\langle n \rangle \ll 1$, where competing orders and polaroniceffects are absent. These results support the proposal that SSH (bi)polaronscan support superconductivity to larger values of $\lambda$ in comparison tothe Holstein polaron, but that the resulting $T_\mathrm{c}$ gains are small inthe weak coupling limit. We also find that the SSH model's pairing correlationsare suppressed after including a weak on-site Hubbard repulsion. These resultshave important implications for identifying and engineering bipolaronicsuperconductivity.

A comparative study of the superconductivity in the Holstein and optical Su-Schrieffer-Heeger models