Unified Spin Order Theory via Gauge Landau-Lifshitz Equation

Abstract

The continuum limit of the tilted SU(2) spin model is shown to give rise to the gauge Landau-Lifshitz equation which provides a unified description for various spin orders. For a definite gauge, we find a double periodic solution, where the conical spiral, in-plane spiral, helical, and ferromagnetic spin orders become special cases, respectively. For another gauge, we obtain the skyrmion-crystal solution. By simulating the influence of magnetic field and temperature for our covariant model, we find a spontaneous formation of skyrmion-fragment lattice and obtain a wider range of skyrmion-crystal phase in comparison to the conventional Dzyaloshinsky-Moriya model.

RevTeX4, 4 pages, 3 figures

References in corpus (6)

• Spin current and magneto-electric effect in non-collinear magnets
• Spontaneous Skyrmion Ground States in Magnetic Metals
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Dynamics of Skyrmion Crystals in Metallic Thin Films
• Spin-polarization coupling in multiferroic transition-metal oxides
• Skyrmion Lattice in Two-Dimensional Chiral Magnet

Cited by in corpus (16)

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• Chirality-driven Hall Transport Phenomena of Spins
• Heterobilayer moiré magnets: moiré skyrmions and the commensurate-incommensurate transition
• Dynamics of magnon fluid in Dzyaloshinskii-Moriya magnet and its manifestation in magnon-Skyrmion scattering
• Universal prethermal dynamics in Heisenberg ferromagnets
• Isolated Skyrmions in the $C{P}^2$ nonlinear $\sigma$-model with a Dzyaloshinskii-Moriya type interaction
• Spin-orbit coupling and electronic charge effects in Mott insulators
• Skyrmion magnetic structure of an ordered FePt monolayer deposited on Pt(111)
• Skyrmionic magnetization configurations at chiral magnet/ferromagnet heterostructures
• Self-Consistent Field Theory studies of the thermodynamics and quantum spin dynamics of magnetic Skyrmions
• Creation of domain-wall Skyrmions in chiral magnets
• Electric-field control of collective spin excitations in Neel-type skyrmions
• Spin-Orbital Driven Ferroelectricity