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We study cuprates within Dynamical Cluster Approximation and find thepseudogap displays an isotope effect of the same sign as observedexperimentally. Notwithstanding the non-phononic origin of the pseudogap theinterplay between electronic repulsion and retarded phonon-mediated attractiongives rise to an isotope dependence of the antinodal spectra. Due to the strongmomentum differentiation, such interplay is highly non-trivial and leads to thesimultaneous presence of heavier quasiparticles along the nodal direction. Wepredict an isotope effect in electron-doped materials.

Isotope effect in the pseudogap of high-temperature superconducting copper oxides