论文标题
由纵向自旋相互作用和拓扑量身定制的镁边界状态
Magnon boundary states tailored by longitudinal spin-spin interactions and topology
论文作者
论文摘要
由于纵向自旋旋转相互作用在磁性材料中无处不在，因此探索拓扑和纵向自旋旋转相互作用之间的相互作用非常有趣。在这里，我们研究了纵向自旋旋转相互作用在拓扑木兴激发中的作用。值得注意的是，即使对于单磁刺激，我们也发现了二聚体Heisenberg XXZ链中磁化激发的拓扑边缘状态和缺陷边缘状态，并且可以通过绝热量子传输来区分它们的拓扑特性。我们发现了由纵向自旋旋转相互作用引起的拓扑相变，这些相互作用是通过转移矩阵方法分析获得的。对于多马格诺激发，发现均匀的粘结状态在拓扑上总是很琐碎，但是由于横向二聚体和纵向旋转旋转相互作用之间的相互作用，奇数粘结态在拓扑上可能是拓扑的。对于二维自旋系统，纵向自旋旋转相互作用有助于缺陷角状态，二阶拓扑角状态和一阶拓扑边缘状态的共存。我们的作品开辟了一条探索拓扑磁刺激的途径，并在拓扑磁杆设备中具有潜在的应用。
Since longitudinal spin-spin interaction is ubiquitous in magnetic materials, it is very interesting to explore the interplay between topology and longitudinal spin-spin interaction. Here, we examine the role of longitudinal spin-spin interaction on topological magnon excitations. Remarkably, even for single-magnon excitations, we discover topological edge states and defect edge states of magnon excitations in a dimerized Heisenberg XXZ chain and their topological properties can be distinguished via adiabatic quantum transport. We uncover topological phase transitions induced by longitudinal spin-spin interactions whose boundary is analytically obtained via the transfer matrix method. For multi-magnon excitations, even-magnon bound states are found to be always topologically trivial, but odd-magnon bound states may be topologically nontrivial due to the interplay between the transverse dimerization and the longitudinal spin-spin interaction. For two-dimensional spin systems, the longitudinal spin-spin interaction contributes to the coexistence of defect corner states, second-order topological corner states and first-order topological edge states. Our work opens an avenue for exploring topological magnon excitations and has potential applications in topological magnon devices.
