Lattice solutions in a Ginzburg-Landau model for a chiral magnet

DOI10.1007/s00332-020-09654-5zbMath1471.35266arXiv2002.12225OpenAlexW3006716626MaRDI QIDQ2022697

Xinye Li, Christof Melcher

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12225

zbMATH Keywords

vorticesmicromagneticsspectral stabilityskyrmionsDzyaloshinskii-Moriya interactionequivariant bifurcationlattice solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bifurcations in context of PDEs (35B32) Statistical mechanics of magnetic materials (82D40) Soliton solutions (35C08) Ginzburg-Landau equations (35Q56) Pattern formations in context of PDEs (35B36)

Related Items (2)

The mathematics of thin structures ⋮ Differential equations of quantum mechanics

Cites Work

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• Compactness results for static and dynamic chiral skyrmions near the conformal limit
• Abrikosov Lattice Solutions of the Ginzburg-Landau Equations
• Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
• Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction
• The profile of chiral skyrmions of small radius
• Chiral skyrmions in the plane

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