We present a summary of analytical and numerical results obtained with A. J. Berlinsky and T. Giorgi on the core structure of symmetric vortices in a Ginzburg-Landau model based on S. C. Zhang's SO(5) theory of high temperature superconductivity and antiferromagnetism. We find that the usual superconducting vortices (with normal phase in the central core region) become unstable at a critical value of the chemical potential, giving rise to a new type of vortex profile with antiferromagnetic ordering in the core region. In the process we revisit the traditional U(1)-Ginzburg-Landau vortices and prove the uniqueness of symmetric solutions of degree d for κ ≥ |d|2~1/2.
展开▼
机译：我们介绍了在基于S. C. C. Zhang的Ginzburg-Landau模型中与A. J. Berlinsky和T.Giorgi获得的分析和数值结果的摘要。基于S. C. Zhang Solo（5）高温超导和反铁磁性理论。我们发现通常的超导涡流（中央核心区域中的正常相位）在化学势的临界值下变得不稳定，从而产生一种具有核心区域中的反铁磁排序的新型涡流曲线。在该过程中，我们重新审视传统的U（1）-Ginzburg-Landau涡流，并证明κ≥| D | 2〜1/2的程度D的对称溶液的独特性。
展开▼
