Lagrangian formulation for emergent elastic waves in magnetic emergent crystals
arXiv:1905.03991
Abstract
Magnetic emergent crystals are periodic alignment of "particle-like" spin textures that emerge in magnets. Instead of focusing on an individual spin or a macroscopic magnetization field, we analyze the dynamical behaviors of these novel states by taking a solid-state point of view. Based on variational principles, the basic equations for lattice dynamics of any emergent crystalline states appearing in magnetic materials is established. For small amplitude emergent elastic waves propagating in emergent crystals, the basic equations reduce to an eigenvalue problem, from which the dispersion relation and vibrational patterns for all emergent phonons are determined at the long wavelength limit.
References in corpus (18)
- Skyrmion Lattice in a Chiral Magnet
- Discovery of Magnetic Antiskyrmions Beyond Room Temperature in Tetragonal Heusler Materials
- Dynamics of Skyrmion Crystals in Metallic Thin Films
- Spin-Wave Modes and Their Intense Excitation Effects in Skyrmion Crystals
- Observation of magnetic excitations of skyrmion crystal in a helimagnetic insulator
- A centrosymmetric hexagonal magnet with superstable biskyrmion magnetic nanodomains in a wide temperature range of 100K to 340K
- Collective spin excitations of helices and magnetic skyrmions: review and perspectives of magnonics in non-centrosymmetric magnets
- Real-space observation of short-period cubic lattice of skyrmions in MnGe
- Topological spin waves in the atomic-scale magnetic skyrmion crystal
- Spin waves in a skyrmion crystal
- Magnetoelectric Resonances and Predicted Microwave Diode Effect of Skyrmion Crystal in Multiferroic Chiral-Lattice Magnet
- Coupled skyrmion sublattices in Cu2OSeO3
- Spin-wave spectroscopy on Dzyaloshinskii-Moriya interaction in room-temperature chiral magnets hosting skyrmions
- Collective dynamical skyrmions excitations in magnonic crystal
- Orbital and interlayer Skyrmions crystals in bilayer graphene
- Spin excitations in the skymion host Cu2OSeO3
- Thermodynamics and elasticity of emergent crystals
- Emergent elastic waves in skyrmion crystals with finite frequencies at long wavelength limit