Generalized Ginzburg-Landau models for non-conventional superconductors

TL;DR

This paper reviews recent generalized Ginzburg-Landau models that describe non-conventional superconductors, including those with multiple critical temperatures and spin-triplet pairing, highlighting their unique thermodynamic and magnetic properties.

Contribution

It introduces and analyzes new extensions of the Ginzburg-Landau model for non-conventional superconductors, focusing on multiple critical temperatures and spin-triplet states.

Findings

Superconductors with two critical temperatures exhibit distinct thermodynamic behaviors.

Spin-triplet superconductors show unique magnetic properties.

Models predict specific physical consequences for non-conventional superconductivity.

Abstract

We review some recent extensions of the Ginzburg-Landau model able to describe several properties of non-conventional superconductors. In the first extension, s-wave superconductors endowed with two different critical temperatures are considered, their main thermodynamical and magnetic properties being calculated and discussed. Instead in the second extension we describe spin-triplet superconductivity (with a single critical temperature), studying in detail the main predicted physical properties. A thorough discussion of the peculiar predictions of our models and their physical consequences is as well performed.