Phonon origin of low energy and high energy kinks in high temperature cuprate superconductors

Eliashberg theory generalized for the account of the electron-hole nonequivalence and electron correlations in the vertex function is used. The phonon contribution to the nodal electron Green function in cuprates is viewed. At non- zero temperatures the singularities (kinks) in the frequency behavior of a real and imaginary part of an electron nodal Green function, and also in the nodal part of the density of the electron states modified by an electron-phonon interaction are studied. It is shown that near the optimal doping both the low-energy and high-energy nodal Green function kinks and also the abnormal broadening of a band in cuprates are reproduced with the electron-phonon interaction in the extended Eliashberg theory.