Microscopic derivation of the Ginzburg-Landau equations for the periodic Anderson model in the coexistence phase of superconductivity and antiferromagnetism

TL;DR

This paper derives microscopic Ginzburg-Landau equations for heavy-fermion superconductors within the periodic Anderson model, focusing on the coexistence of superconductivity and antiferromagnetism near quantum critical points.

Contribution

It provides a new derivation of Ginzburg-Landau equations applicable to the coexistence phase in heavy-fermion systems close to quantum criticality.

Findings

Antiferromagnetic order reduces the superconducting critical temperature.

The derived equations are valid near the quantum critical point.

Antiferromagnetism influences the superconducting order parameter.

Abstract

On the basis of the periodic Anderson model the microscopic Ginzburg-Landau equations for heavy-fermion superconductors in the coexistence phase of superconductivity and antiferromagnetism have been derived. The obtained expressions are valid in the vicinity of quantum critical point of heavy-fermion superconductors when the onset temperatures of antiferromagnetism and superconductivity are sufficiently close to each other. It is shown that the formation of antiferromagnetic ordering causes a decrease of the critical temperature of superconducting transition and order parameter in the phase of coexisting superconductivity and antiferromagnetism.