Ginzburg-Landau Equations for Coexistent States of Superconductivity and Antiferromagnetism in t-J model

TL;DR

This paper derives Ginzburg-Landau equations from the t-J model to describe the coexistence of superconductivity and antiferromagnetism, capturing electronic structure effects relevant to high-Tc cuprates.

Contribution

It provides a microscopic derivation of GL equations incorporating electronic structure and doping effects for coexistent states in high-Tc superconductors.

Findings

GL equations reflect Fermi surface evolution with doping

Suitable for studying material dependence in cuprates

Captures coexistence of superconductivity and antiferromagnetism

Abstract

Ginzburg-Landau (GL) equations for the coexistent state of superconductivity and antiferromagnetism are derived microscopically from the t-J model with extended transfer integrals. GL equations and the GL free energy, which are obtained based on the slave-boson mean-field approximation, reflect the electronic structure of the microscopic model, especially the evolution of the Fermi surface due to the change of the doping rate. Thus they are suitable for studying the material dependence of the coexistent states in high-$T_C$ cuprate superconductors.