Goldstone mode of Skyrmion Crystal
arXiv:2310.06649 · doi:10.1134/S0021364023602440
Abstract
We discuss the Goldstone mode of skyrmion crystal in a model of two-dimenssional ferromagnet with Dzyaloshinskii-Moriya interaction in magnetic field. We use stereographic projection approach to construct skyrmion crystal and consider skyrmion's displacement field. The small overlap of the individual skyrmion images restricts the potential energy to the interaction of nearest neighboring displacements. The closed form of the Goldstone mode dispersion is found and its dependence on the magnetic field is studied. We use semiclassical quantization to define the Green's function and show that the propagation of displacements through the crystal changes its tensorial form from isotropic to anisotropic one at large distances.
arXiv comment6 pages, 4 figures
References in corpus (15)
- Skyrmion Lattice in a Chiral Magnet
- Advances in the Physics of Magnetic Skyrmions and Perspective for Technology
- Chiral skyrmions in thin magnetic films: new objects for magnetic storage technologies?
- Observation of magnetic excitations of skyrmion crystal in a helimagnetic insulator
- Collective spin excitations of helices and magnetic skyrmions: review and perspectives of magnonics in non-centrosymmetric magnets
- Topological spin waves in the atomic-scale magnetic skyrmion crystal
- Spin waves in a skyrmion crystal
- Topological magnon band structure of emergent Landau levels in a skyrmion lattice
- Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
- Vortex mechanics in planar nano-magnets
- Correlations in the Sine-Gordon Model with Finite Soliton Density
- Signatures of a liquid-crystal transition in spin-wave excitations of skyrmions
- Towards an effective theory of skyrmion crystals
- Triple helix vs. skyrmion lattice in two-dimensional non-centrosymmetric magnets
- Dynamical susceptibility of Skyrmion crystal