Domain wall Skyrmions

Abstract

Skyrmions of different dimensions are related by domain walls. We obtain explicit full numerical solutions of various Skyrmion configurations trapped inside a domain wall. We find for the quadratic mass-term that multi-Skyrmions are ring-shaped, and conjecture for the linear mass-term, that the lowest-energy state of multi-Skyrmions will consist of charge-2 rings accommodated in a lattice.

LaTeX: 18 pages, 14 figures; V2: typos corrected

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Cited by in corpus (41)

• Magnetic domain wall Skyrmions
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• Scattering of kinks of the sinh-deformed ${\phi }^4$ model
• Scattering of the double sine-Gordon kinks
• Observation of domain wall bimerons in chiral magnets
• Incarnations of Skyrmions
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Non-Abelian Sine-Gordon Solitons
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-Abelian Sine-Gordon Solitons: Correspondence between $SU(N)$ Skyrmions and $\mathbb{C}{P}^{N-1}$ Lumps
• Relations among topological solitons
• Emergence of Transient Domain Wall Skyrmions after Ultrafast Demagnetisation
• Domain Wall Skyrmions in Chiral Magnets
• Fractional Skyrmions and their molecules
• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Scalar triplet on a domain wall: an exact solution
• Baryonic torii: Toroidal baryons in a generalized Skyrme model
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Tuning of topological properties in the strongly correlated antiferromagnet Mn${}_3$Sn via Fe doping
• Skyrmions confined as beads on a vortex ring
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Chiral Magnets from String Theory
• Effective field theories on solitons of generic shapes
• Magnetic domain wall substructures in Pt/Co/Ni/Ir multi-layers
• Topological Defects in the Georgi-Machacek Model
• D-brane solitons in various dimensions
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Baryonic handles: Skyrmions as open vortex strings on a domain wall
• Q-lumps on a Domain Wall with a Spin-Orbit Interaction
• Strings and skyrmions on domain walls
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Background fields and self-dual Skyrmions
• Solitonic ground state in supersymmetric theory in background
• Tuning of Electrical, Magnetic, and Topological Properties of Magnetic Weyl Semimetal Mn${}_{3+x}$Ge by Fe doping
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• BPS pion domain walls in the supersymmetric chiral Lagrangian
• Creation of domain-wall Skyrmions in chiral magnets
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Creation of domain-wall skyrmions in chiral magnets with Landau-Lifshitz-Gilbert dynamics and demagnetization