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

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.

8 pages

References in corpus (2)

• Superconducting Vortex with Antiferromagnetic Core
• Excitations in antiferromagnetic cores of superconducting vortices

Cited by in corpus (11)

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• Vortex state in a doped Mott insulator
• Vortons in the SO(5) model of high temperature superconductivity
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• Skyrmion-like textures in superconductors with competing order
• The Creation of Defects with Core Condensation
• The magnetic neutron scattering resonance of high-T_c superconductors in external magnetic fields: an SO(5) study
• Magnetic properties of SO(5) superconductivity