Superconductivity in the quasi-two-dimensional Hubbard model

TL;DR

This paper investigates superconductivity in the quasi-two-dimensional Hubbard model using spin and pairing fluctuation approximations, providing numerical solutions for key properties and comparing results with cuprate high-temperature superconductors.

Contribution

It introduces a self-consistent numerical approach to solve Green's function equations in the Hubbard model, enhancing computational efficiency and accuracy.

Findings

Calculated order parameter and transition temperature

Analyzed London penetration depth and density of states

Compared results with experimental data on cuprates

Abstract

On the basis of spin and pairing fluctuation-exchange approximation, we study the superconductivity in quasi-two-dimensional Hubbard model. The integral equations for the Green's function are self-consistently solved by numerical calculation. Solutions for the order parameter, London penetration depth, density of states, and transition temperature are obtained. Some of the results are compared with the experiments for the cuprate high-temperature superconductors. Numerical techniques are presented in details. With these techniques, the amount of numerical computation can be greatly reduced.