Possible symmetries of the superconducting order parameter in a hexagonal ferromagnet

TL;DR

This paper investigates how the coexistence of superconductivity and ferromagnetism in hexagonal crystals influences the symmetry of the superconducting order parameter, with implications for materials like graphite-sulfur composites.

Contribution

It provides a symmetry classification framework for superconducting states in ferromagnetic hexagonal materials, highlighting the effects of magnetization on order parameter symmetry.

Findings

Magnetization alters the symmetry classification of superconducting states.

The study offers a theoretical basis for understanding superconductivity in ferromagnetic materials.

Potential applications in designing new superconducting materials with magnetic properties.

Abstract

We study the order parameter symmetry in a hexagonal crystal with co-existing superconductivity and ferromagnetism. An experimental example is provided by carbon-based materials, such as graphite-sulfur composites, in which an evidence of such co-existence has been recently discovered. The presence of a non-zero magnetization in the normal phase brings about considerable changes in the symmetry classification of superconducting states, compared to the non-magnetic case.