The spinor Ginzburg–Landau model in dimension three

摘要

Recent papers in physics literature have introduced spin-coupled (or spinor) Ginzburg–Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors. In this paper, we study the asymptotic behavior of solutions to this model in dimension 3. It was also proven that limit singularities set is one-dimensional rectifiable, which consists of one or more line segments.