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Isotope effects (IEs) are powerful tool to probe directly the dependence ofmany physical properties on the lattice dynamics. In this paper we invenstigatethe onset of anomalous IEs in the spinless Holstein model by employing thedynamical mean field theory. We show that the isotope coefficients of theelectron effective mass and of the dressed phonon frequency are sizeable alsofar away from the strong coupling polaronic crossover and mark the importanceof nonadiabatic lattice fluctuations in the weak to moderate coupling region.We characterize the polaronic regime by the appearence of huge IEs. We draw anonadiabatic phase diagram in which we identify a novel crossover, not relatedto polaronic features, where the IEs attain their largest anomalies.Comment: 5 pages, 4 figure

Polaronic and Nonadiabatic Phase Diagram from Anomalous Isotope Effects