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

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  • 16 December 1998
Abstract
We consider the problem of superconducting Ginzburg-Landau (G-L) vortices with antiferromagnetic cores which arise in Zhang's SO(5) theory 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.

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