Chiral Magnets from String Theory

Abstract

Chiral magnets with the Dzyaloshinskii-Moriya (DM) interaction have received quite an intensive focus in condensed matter physics because of the presence of a chiral soliton lattice (CSL), an array of magnetic domain walls and anti-domain walls, and magnetic skyrmions. In this paper, we realize chiral magnets in type-IIA/B string theory by using the Hanany-Witten brane configuration (consisting of D3, D5 and NS5-branes) and the fractional D2 and D6 branes on the Eguchi-Hanson manifold. In the both cases, we put constant non-Abelian magnetic fluxes on flavor D-branes, turning them into magnetized D-branes. The $O(3)$ sigma model with an easy-axis or easy-plane potential and the DM interaction is realized on the worldvolume of the color D-branes. The ground state is the ferromagnetic (uniform) phase and the color D-brane is straight when the DM interaction is small compared with the scalar mass. However, when the DM interaction is larger, the uniform state is no longer stable and the ground state is inhomogeneous: the CSL phases and helimagnetic phase. In this case, the color D-brane is no longer straight but is snaky (zigzag) when the DM interaction is smaller (larger) than a critical value. A magnetic domain wall in the ferromagnetic phase is realized as a kinky D-brane. We further construct magnetic skyrmions in the ferromagnetic phase, realized as D1-branes (fractional D0-branes) in the former (latter) configuration. We see that the host D2-brane is bent around the position of a D0-brane as a magnetic skyrmion. Finally, we construct, in the ferromagnetic phase, domain-wall skyrmions, that is, composite states of a domain wall and skyrmions, and find that the domain wall is no longer flat in the vicinity of the skyrmion. Consequently, a kinky D2-brane worldvolume is pulled or pushed in the vicinity of the D0-brane depending on the sign of the skyrmion topological charge.

arXiv comment37 pages, 15 figures, v2: typos corrected, v3: references added, published version

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Cited by in corpus (13)

• Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice
• Spin Statistics and Surgeries of Topological Solitons in QCD Matter in Magnetic Field
• Skyrmion crystal phase on a magnetic domain wall in chiral magnets
• Solitonic ground state in supersymmetric theory in background
• Manipulation and trapping of magnetic skyrmions with domain walls in chiral magnetic thin films
• Creation of domain-wall Skyrmions in chiral magnets
• Domain Wall Networks as Skyrmion Crystals in Chiral Magnets
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
• Demagnetization in micromagnetics: magnetostatic self-interactions of bulk chiral magnetic skyrmions
• 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
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Fermionic domain-wall Skyrmions of QCD in a magnetic field