Tracing Monopoles and Anti-monopoles in a Magnetic Hedgehog Lattice

Abstract

The magnetic hedgehog lattice (HL), which was recently discovered in the $B$20-type chiral magnet MnSi${}_{1-x}$Ge${}_x$, is a topological spin texture with a periodic array of magnetic monopoles and anti-monopoles. Within the continuum approximation, the monopoles and anti-monopoles are predicted to move, collide, and pair annihilate in an applied magnetic field, but it remains unclear how the lattice discretization affects their motions. Here, we study the trajectories of monopoles and anti-monopoles in a lattice system by simulated annealing with field sweep. We show that the monopoles and anti-monopoles move and repel before pair annihilations. We also clarify that their motions are closely related with the field dependence of the scalar spin chirality.

6 pages, 5 figures

References in corpus (2)

• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Electric transport in three-dimensional Skyrmion/monopole crystal

Cited by in corpus (8)

• Topological spin crystals by itinerant frustration
• Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Magnetic Hedgehog Lattice in a Centrosymmetric Cubic Metal
• Topological magnetic structures in MnGe: Neutron diffraction and symmetry analysis
• Anisotropic spin model and multiple-$Q$ states in cubic systems
• Hidden Topological Transitions in Emergent Magnetic Monopole Lattices
• A Synthetic Macroscopic Magnetic Unipole