Geminal Approch to Vibronic Models of Superoconductivity in Crystals.I.The jahn-Teler Effect

摘要

Electronic geminals constructed as linear combinations of binary products of site functiions are used to formulate a vibronic model of superconductivity in crystals that is based upon the approximation of independent correlated electron pairs obtained variationally from an electron-pair Hamiltonian and the geminals are sorted into doubly degenerate pairs.The Herzberg-Teller expansion of the geminals are sorted into doubly degenerate pairs.The Herzberg-Teller expansion of the pair Hamiltonian in terms of vibrational modes leads directly to the Jahn-Teller effect.A contact transformation ofthe vibronic Hamiltonian containing only linear terms lowers the energy of the system by a second-order term associated with the Jahn-Teller stabilization energy.A possible model for superconductivity in solids is proposed on the basis of the Jahn-Teller effect.