Solitons in SO(5) Superconductivity

TL;DR

This paper explores the potential existence of solitons, specifically antiferromagnetic cores in superconducting vortices, within an SO(5) symmetric model that unifies superconductivity and antiferromagnetism.

Contribution

It introduces the idea of antiferromagnetic cores in vortices based on an SO(5) symmetric model and presents preliminary numerical results supporting this concept.

Findings

Superconducting vortices may have antiferromagnetic cores.

Preliminary numerical work supports the existence of such solitons.

The model suggests potential for other exotic solitons.

Abstract

A model unifying superconductivity and antiferromagnetism using an underlying approximate SO(5) symmetry has injected energy into the field of high-temperature superconductivity. This model might lead to a variety of interesting solitons. In this paper, the idea that superconducting vortices may have antiferromagnetic cores is presented, along with the results of some preliminary numerical work. An outlook for future work, including speculations about other possible exotic solitons, is presented.