Electronic spectrum and superconductivity in the extended t-J-V model

TL;DR

This paper develops a microscopic theory for high-temperature superconductivity in strongly correlated systems using the extended t-J-V model, highlighting the dominant role of spin fluctuations in d-wave pairing.

Contribution

It derives and solves the Dyson equation for Green functions in the extended t-J-V model, demonstrating the primary influence of kinematical interactions over Coulomb and phonon effects.

Findings

High-Tc d-wave pairing is mainly driven by spin fluctuations.

Coulomb and electron-phonon interactions have minor effects on pairing.

The theory supports the spin-fluctuation mechanism for cuprate superconductivity.

Abstract

A consistent microscopic theory of superconductivity for strongly correlated electronic systems is presented within the extended t-J-V model where the intersite Coulomb repulsion and the electron-phonon interaction are taken into account. The exact Dyson equation for the normal and anomalous (pair) Green functions is derived for the projected (Hubbard) electronic operators. The equation is solved in the self-consistent Born approximation for the self-energy. We obtain the d-wave pairing with high-Tc induced by the strong kinematical interaction of the order of the kinetic energy $\sim t$ of electrons with spin fluctuations which is much larger than the exchange interaction J. The Coulomb repulsion and the electron-phonon interaction give small contributions for the d-wave pairing. These results support the spin-fluctuation mechanism of high-temperature superconductivity in cuprates previously proposed in phenomenological models.