Bipolaron liquids at strong Peierls electron-phonon couplings

We use the density matrix renormalization group method to study a one-dimensional chain with Peierls electron-phonon coupling, which describes modulation of electron hopping by lattice distortions. demonstrate that this system is stable against phase separation in dilute limit. only find numerically for large couplings linear approximation coupling becomes invalid; behavior can be stabilized narrow sliver physical parameter space if dispersion phonons carefully tuned. These results indicate limit, bipolaron liquids are generically stable, unlike other models coupling. show extends finite carrier concentrations up quarter filling. This stability low-density, light-mass model opens path high-${T}_{c}$ superconductivity based on bipolaronic mechanism, higher dimensions.