Suppression of superconductivity in the Hubbard model by buckling and breathing phonons

TL;DR

This study investigates how buckling and breathing phonons influence d-wave superconductivity in the 2D Hubbard model, revealing that phonons suppress superconductivity due to competing effects of electron-phonon interactions.

Contribution

It demonstrates that buckling and breathing phonons suppress superconductivity in the Hubbard model, highlighting the complex interplay between electron correlations and phonons in cuprates.

Findings

Phonons enhance the effective d-wave pairing interaction.

Phonons cause strong renormalization of the single-particle propagator.

Superconductivity is suppressed in the relevant parameter space.

Abstract

We study the effect of buckling and breathing phonons, relevant for cuprate superconductors, on the d-wave superconductivity in the two-dimensional Hubbard model by employing dynamical cluster Monte Carlo calculations. The interplay of electronic correlations and the electron-phonon interaction produces two competing effects, an enhancement of the effective d-wave pairing interaction, which favors d-wave superconductivity, and a strong renormalization of the single-particle propagator, which suppress superconductivity. Due to the later effect we find that buckling and breathing phonons suppress the superconductivity in the region of parameter space relevant for cuprate superconductors.