论文标题
在Skyrmion Crystals中，由极性变化和下一新的邻居跳动驱动的拓扑相变
Topological phase transitions driven by polarity change and next-nearest-neighbor hopping in skyrmion crystals
论文作者
论文摘要
通过考虑Skyrmion Crystal的散装对应关系，这项工作着重于拓扑特性与极性的关系（$ Q _ {\ rm {SK}} $），下一个Nearest-Negher-Negher-negher Hopping（$ t'$）和Exchange Coupling（$ J $）。我们发现，通过将天空的极性从1到2不断增加，单子晶体阶段和偶极矩形阶段都跨越了参数空间的广泛范围，表现出拓扑鲁棒性。虽然第二个电子的邻居越来越多，而最近的邻居将横穿二维SKX的新出现磁场的磁通模式与其他拓扑结构形成，从而产生了不同的拓扑结构效应。通过将$ t'$从0增加到$ t $将固定为1的极性增加，我们发现电子频段的Chern数量从统一变为不确定的值，证明了相变。我们还考虑了有限$ j $的效果，并发现在绝热限制中获得的结果约为$ j = t $。
By considering the bulk-edge correspondence of the skyrmion crystal this work focused on the relation of the topological properties to the polarity ($Q_{\rm{sk}}$), next-nearest-neighbor hopping ($t'$), and exchange coupling ($J$). We found that by continually increasing polarity of the skyrmions from 1 to 2, the monopole-lattice phase and the dipole-lattice phase both span a wide range in the parameter space demonstrating topological robustness. While the next-nearest-neighbor-hopping of the electrons coexists with the nearest-neighbor hopping the flux pattern of the emergent magnetic field traversing the two-dimensional SkX is reshaped giving rise to different topological Hall effect. By increasing $t'$ from 0 to $t$ with the polarity fixed to be 1, we found Chern numbers of the electronic bands change from unity to indefinite values demonstrating a phase transition. We also considered the effect of finite $J$ and found the results obtained in the adiabatic limit hold to around $J=t$.
