A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\)

DOI10.1007/s00205-020-01575-7zbMath1466.78007arXiv1912.09854OpenAlexW2995982613MaRDI QIDQ2219477

Theresa M. Simon, Anne Bernand-Mantel, Cyrill B. Muratov

Publication date: 20 January 2021

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09854

zbMATH Keywords

skyrmionsultrathin ferromagnetic films

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Electromagnetic effects in solid mechanics (74F15) Thin films (74K35) Existence theories for optimal control problems involving partial differential equations (49J20) Electro- and magnetostatics (78A30) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08)

Related Items (9)

The mathematics of thin structures ⋮ Rigidity estimates for isometric and conformal maps from \(\mathbb{S}^{n-1}\) to \(\mathbb{R}^n\) ⋮ Chiral magnetic skyrmions across length scales ⋮ A note on a rigidity estimate for degree ±1$\pm 1$ conformal maps on S2$\mathbb {S}^2$ ⋮ A rigidity estimate for maps from S2$S^2$ to S2$S^2$ via the harmonic map flow ⋮ Magnetic skyrmions under confinement ⋮ Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\) ⋮ Calculus of variations. Abstracts from the workshop held August 2--8, 2020 (hybrid meeting) ⋮ Chiral skyrmions of large radius

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