Cooper-Paired Bipolaronic Superconductors

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a potential route to bipolaronic high-Tc superconductivity. While there has been numerical progress in the physically relevant limit of slow phonons, more insights are needed to fully understand to what extent this mechanism survives at finite densities and in different

regimes. We address these questions using advanced tensor-network methods applied to the Su-Schrieffer-Heeger model. Studying both the spectral properties of isolated bipolarons as well as the pairing correlations at small finite densities, we find evidence that the conventional picture of bipolarons as molecular bound states which undergo Bose-Einstein condensation may need to be reconsidered. Instead, our findings suggest correlation-driven formation of a fragmented condensate with spatially separated polaron pairs, stabilized by strong repulsive electron-electron interactions at moderate values of the electron-phonon coupling. These spatially modulated charge clouds exhibit pairing with a typical length-scale set by the Fermi momentum.