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In connection with the experiment on oxygen isotope effect of Bi2Sr2CaCu2O8with the angle-resolved photoemission spectroscopy (ARPES), we theoreticallystudy the isotope-induced band shift in ARPES by the Hartree-Fork and quantumMonte Carlo methods. We find that this band shift can be clarified based on aquadratically coupled electron-phonon (e-ph) model. The large ratio of bandshift versus phonon energy change is connected with the softening effect ofphonon, and the positive-negative sign change is due to the momentum dependenceof the e-ph coupling.

Isotopic shift in angle-resolved photoemission spectra of Bi2Sr2CaCu2O8 due to quadratic electron-phonon coupling