Fermi-Liquid Theory of Non-S-Wave Superconductivity

TL;DR

This paper develops a Fermi-liquid theoretical framework for understanding non-s wave superconductivity, connecting experimental observations with theoretical models, and highlighting unique impurity effects in such systems.

Contribution

It extends Fermi-liquid theory to non-s wave superconductors and links it with Ginzburg-Landau theory, providing insights into multiple phases and impurity effects.

Findings

Fermi-liquid theory applies broadly to non-s wave superconductors.

Ginzburg-Landau theory links experimental data with microscopic models.

Impurities have unique effects on non-s wave superconductivity.

Abstract

These lectures present the Fermi-liquid theory of superconductivity, which is applicable to a broad range of systems that are candidates for non-s wave pairing, {\it e.g.} the heavy fermions, organic metals and the CuO superconductors. Ginzburg-Landau (GL) theory provides an important link between experimental properties of non-s wave superconductors and the more general Fermi-liquid theory. The multiple superconducting phases of UPt$_3$ provide an ideal example of the role that is played by the GL theory for non-s wave superconductors. The difference between non-s wave superconductivity and conventional anisotropic superconductivity is illustrated here by the unique effects that impurities are predicted to have on the properties of non-s wave superconductors.