磁Hedgehog格点中的单极子和反单极子追踪
Tracing Monopoles and Anti-monopoles in a Magnetic Hedgehog Lattice
摘要：
最近在$B$ 20型手性磁体MnSi $_{1-x}$ Ge $_x$中发现的磁刺猬晶格（HL）是具有磁单极子和反单极子的周期性阵列的拓扑自旋织构。在连续近似下，磁单极子和反磁单极子在外加磁场中运动、碰撞和对湮灭，但晶格离散化如何影响它们的运动仍不清楚。在这里，我们研究了在晶格系统中的磁单极子和反磁单极子的轨迹与场扫描模拟退火。我们表明，在对湮灭之前，磁单极子和反磁单极子的运动和排斥。我们还阐明了它们的运动与标量自旋手征的场依赖性密切相关。
英文摘要：
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.
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