Paramagnon-induced dispersion anomalies in the cuprates

We report the self-energy associated with random-phase approximation magnetic susceptibility in the hole-doped Bi2Sr2CuO6 (Bi2201) and the electron-doped Nd2-xCexCuO4 (NCCO) in the overdoped regime within the framework of a one-band Hubbard model. A strong weight is found in the magnetic spectrum around (pi,0) at about 360 meV in Bi2201 and 640 meV in NCCO, which yields dispersion anomalies in accord with the recently observed waterfall effects in the cuprates.