title: Suppression of superconductivity in the Hubbard model by buckling and breathing phonons.
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 suppresses superconductivity. In the region of the parameter space relevant for cuprate superconductors, we find that the buckling and the breathing phonons suppress the superconductivity.
authors.affiliation: Fermi National Accelerator Laboratory, Batavia, IL 60510, USA. macridin@fnal.gov
authors.forename: Alexandru
authors.initials: A
authors.lastname: Macridin
authors.forename: Brian
authors.initials: B
authors.lastname: Moritz
authors.forename: M
authors.initials: M
authors.lastname: Jarrell
authors.forename: Thomas
authors.initials: T
authors.lastname: Maier