Phonon-Mediated Long-Range Attractive Interaction in 1D Cuprates*

Establishing a minimal microscopic model for cuprates is a key step toward understanding the high-T_c mechanism. Through quantitative comparison with recent in situ angle-resolved photoemission spectroscopy measurements on doped 1D cuprate chains, our simulations highlight a significant contribution from long-range electron-phonon coupling, beyond standard Hubbard model descriptions. Reasonable values for the coupling strength and phonon energy produce a strong attractive interaction between neighboring electrons, consistent with the effective interaction extracted from experiment. Considering the structural and chemical similarity between 1D and 2D cuprate materials, models that include long-range electron-phonon coupling will provide valuable insights on cuprates, unconventional high-T_c superconductivity in general, and related quantum phases.