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arXiv 2312.16625cond-mat.mes-hall
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石墨烯中由交换耦合变化引起的拓扑相变

Topological phase transitions induced by the variation of exchange couplings in graphene

Jihyeon Park, Gun Sang Jeon

AI总结:

研究修正石墨烯模型中交换耦合变化引起的拓扑相变,引入子晶格交换耦合方向扭曲,发现丰富的连续拓扑相变结构,并揭示了Rashba自旋轨道耦合与交错势相互作用导致的相近拓扑相变。

摘要:

我们考虑一个在交换耦合下的修正石墨烯模型。已知在均匀或交错交换耦合下会涌现各种量子反常相。我们引入两个子晶格交换耦合方向之间的扭曲,这对于研究不同类型交换耦合下这些拓扑非平庸相如何相互关联非常有用。通过改变交换耦合强度和扭曲角构建的相图展示了连续拓扑相变的丰富结构。我们通过能量色散的演化分析了特殊相的涌现。应用于能级的微扰方案能很好地重现中等扭曲角范围内的相边界线。我们还在均匀交换耦合下发现了两次相近的拓扑相变,这归因于 Rashba 自旋轨道耦合引起的三阶扭曲形变与交错子晶格势的相互作用。最后讨论了 Berry 曲率结构及真实和赝自旋织构中拓扑激发的意义。

英文摘要:

We consider a modified graphene model under exchange couplings. Various quantum anomalous phases are known to emerge under uniform or staggered exchange couplings. We introduce the twist between the orientations of two sublattice exchange couplings, which is useful for examining how such topologically nontrivial phases under different types of exchange couplings are connected to one another. The phase diagrams constructed by the variation of exchange coupling strengths and twist angles exhibit rich structures of successive topological transitions. We analyze the emergence of peculiar phases in terms of the evolution of the energy dispersions. Perturbation schemes applied to the energy levels turn out to reproduce well phase boundary lines up to moderate values of the twist angle. We also discover two close topological transitions under uniform exchange couplings, which is attributed to the interplay of the trigonal-warping deformation due to Rashba spin-orbit coupling and the staggered sublattice potential. Finally the implications of Berry curvature structure and topological excitations in real and pseudo spin textures are discussed.

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