由Skyrmion晶格中极性变化和次近邻跃迁驱动的拓扑相变
Topological phase transitions driven by polarity change and next-nearest-neighbor hopping in skyrmion crystals
AI总结：
研究通过考虑Skyrmion晶格的体-边对应关系，探讨了极性、次近邻跃迁和交换耦合对拓扑性质的影响，发现极性变化导致拓扑相变并改变Chern数。
摘要：
通过考虑Skyrmion晶格的体-边对应关系，本文研究了极性（Q_sk）、次近邻跃迁（t'）和交换耦合（J）与拓扑性质的关系。我们发现，通过连续增加Skyrmion的极性从1到2，单极晶格相和双极晶格相在参数空间中均表现出广泛的拓扑鲁棒性。当电子的次近邻跃迁与最近邻跃迁共存时，所形成的磁通量模式会重塑二维SkX中的磁场分布，从而产生不同的拓扑霍尔效应。通过将t'从0增加到t（极性固定为1），我们发现电子能带的Chern数从1变为不定值，表现出相变。此外，我们还考虑了有限J的影响，发现所得结果在绝热极限下可保持到J≈t。
英文摘要：
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 $J=t$.
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