Abstract
Topological analysis of nearly $\mathrm{SO}(3{)}_{\mathrm{spin}}$ symmetric Ginzburg-Landau theory, proposed for ${\mathrm{UPt}}_{3}$ by Machida et al. shows that there exists a new class of solutions carrying two units of magnetic flux---the magnetic Skyrmion. These solutions do not have singular corelike Abrikosov vortices and at low magnetic fields they become lighter for strongly type-II superconductors. Magnetic Skyrmions repel each other as $1/r$ at distances much larger than the magnetic penetration depth $\ensuremath{\lambda}$, forming a relatively robust triangular lattice. The magnetic induction near ${H}_{c1}$ is found to increase as $({H\ensuremath{-}H}_{c1}{)}^{2}$. This behavior agrees well with experiments.
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