Stability of highly-twisted Skyrmions from contact topology
arXiv:2102.13126
Abstract
We describe a topological protection mechanism for highly-twisted two-dimensional Skyrmions in systems with Dyloshinskii-Moriya (DM) coupling, where non-zero DM energy density (dubbed "twisting energy density") acts as a kind of band gap in real space, yielding an N invariant for highly twisted Skyrmions. We prove our result through the application of contact topology by extending our system along a fictitious third dimension, and further establish the structural stability of highly-twisted Skyrmions under arbitrary chirality-preserving distortions. Our results apply for all two-dimensional systems hosting Skyrmion excitations including spin-orbit coupled systems exhibiting quantum Hall ferromagnetism.
arXiv comment6 pages, 3 figures
References in corpus (20)
- Topological Insulators
- Topological insulators and superconductors
- Skyrmion Lattice in a Chiral Magnet
- Topological Insulators with Inversion Symmetry
- Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
- Topological Hall effect in the A-phase of MnSi
- Spin Transfer Torques in MnSi at Ultra-low Current Densities
- Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
- Multiple-q states and skyrmion lattice of the triangular-lattice Heisenberg antiferromagnet under magnetic fields
- A theory on skyrmion size and profile
- Laser-Induced Magnetic Nanostructures with Tunable Topological Properties
- Voltage Controlled Magnetic Skyrmion Motion for Racetrack Memory
- Control and manipulation of a magnetic skyrmionium in nanostructures
- Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
- Direct imaging of a zero-field target skyrmion and its polarity switch in a chiral magnetic nanodisk
- Stable Skyrmions in SU(2) Gauged Bose-Einstein Condensates
- Majorana bound states in magnetic skyrmions
- Stable Skyrmions in spinor condensates
- Fractionally charged skyrmions in fractional quantum Hall effect
- Singular Contact Geometry and Beltrami Fields in Cholesteric Liquid Crystals