Magnetic skyrmions and their lattices in triplet superconductors

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Abstract

A complete topological classification of solutions in SO(3) symmetric Ginzburg-Landau free energy has been performed and a new class of solutions in weak external magnetic field carrying two units of magnetic flux has been identified. These solutions, magnetic skyrmions, do not have a singular core as Abrikosov vortices do and at low magnetic field they become lighter for strongly type II superconductors. As a consequence, the lower critical magnetic field Hc1 is reduced by a factor of ln κ. Magnetic skyrmions repel each other as 1/r at distances much larger than magnetic penetration depth λ forming a relatively robust triangular lattice. Magnetization near Hc1 increases gradually as (H−Hc1)2. This behavior agrees very well with experiments on heavy fermion superconductor UPt3. Newly discovered Ru based compounds Sr2RuO4 and Sr2YRu1−xCuxO6 are other possible candidates to possess skyrmion lattices. Deviations from exact SO(3) symmetry are also studied.

Original languageEnglish
Pages (from-to)550-558
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume60
Issue number1
DOIs
StatePublished - 1 Jan 1999

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