Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates

TL;DR

This paper demonstrates that long-range electron-phonon interactions in one-dimensional cuprates can produce strong attractive forces between electrons, offering new insights into high-temperature superconductivity mechanisms.

Contribution

The study introduces a minimal microscopic model incorporating long-range electron-phonon coupling, highlighting its importance beyond standard Hubbard models for cuprates.

Findings

Long-range electron-phonon coupling causes strong electron attraction.

Simulation results match experimental ARPES data.

Nonlocal couplings significantly influence electron interactions.

Abstract

Establishing a minimal microscopic model for cuprates is a key step towards the elucidation of a high-$T_c$ mechanism. By a quantitative comparison with a recent \emph{in situ} angle-resolved photoemission spectroscopy measurement in doped 1D cuprate chains, our simulation identifies a crucial contribution from long-range electron-phonon coupling beyond standard Hubbard models. Using reasonable ranges of coupling strengths and phonon energies, we obtain a strong attractive interaction between neighboring electrons, whose strength is comparable to experimental observations. Nonlocal couplings play a significant role in the mediation of neighboring interactions. Considering the structural and chemical similarity between 1D and 2D cuprate materials, this minimal model with long-range electron-phonon coupling will provide important new insights on cuprate high-$T_C$ superconductivity and related quantum phases.