%0 Journal Article %T High-temperature superconductivity and normal state in the Holstein-t-J model %A E. E. Zubov %J Physics %D 2013 %I arXiv %R 10.1016/j.physc.2013.11.005 %X A possible origin of the high-temprature superconductivity in cuprates has been suggested. It is supposed that electron-phonon interaction determines the strong correlation narrowing of the electron band. It provides the conditions for the formation of a singlet electron pair coupled by exchange interaction. For the pure t-J model it has been proved that these electron pairs are destroyed by a strong effective kinematic field. The detailed analysis of an influence of the Holstein polaron excitations upon normal and superconducting properties of the strongly correlated electrons was made. A calculated critical temperature of the superconductivity and gap function are in good agreement with experimental data for cuprates. %U http://arxiv.org/abs/1307.7850v1