Vortices with antiferromagnetic cores in the SO(5) theory of high temperature superconductivity

TL;DR

This paper numerically investigates vortices with antiferromagnetic cores in the SO(5) model of high-temperature superconductivity, revealing how the AF component diminishes at a critical anisotropy, affecting vortex properties.

Contribution

It provides numerical solutions to Ginzburg-Landau equations for vortices with AF cores in the SO(5) model, extending previous variational approaches and analyzing the AF component's behavior.

Findings

AF component at vortex core vanishes at g~0.25

Magnetic field and vortex energy depend on anisotropy

Critical anisotropy is nearly independent of kappa

Abstract

We consider the problem of superconducting Ginzburg-Landau (G-L) vortices with antiferromagnetic cores which arise in Zhang's SO(5) model of antiferromagnetism (AF) and high temperature superconductivity (SC). This problem was previously considered by Arovas et al. who constructed approximate "variational" solutions, in the large kappa limit, to estimate the domain of stability of such vortices in the temperature-chemical potential phase diagram. By solving the G-L equations numerically for general kappa, we show that the amplitude of the antiferromagnetic component at the vortex core decreases to zero continuously at a critical value of the AF-SC anisotropy (g~0.25) which is essentially independent of kappa for large kappa. The magnetic field profile, the vortex line energy and the value of the B-field at the center of the vortex core, as functions of anisotropy are also presented.