Co-rotational chiral magnetic skyrmions near harmonic maps

Abstract

Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral interaction, the skyrmions on ${\mathbb{R}}^2$ with co-rotational symmetry are close to harmonic maps, and prove precise bounds on the differences. One application of these bounds is precise energy asymptotics. Another (pursued in a separate work) is an alternate, quantitative proof of the recent skyrmion stability result of Li-Melcher.

46 pages

References in corpus (3)

• Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• Skyrmion dynamics in chiral ferromagnets

Cited by in corpus (1)

• Differential Equations of Quantum Mechanics