论文标题
三组分系统中的金属 - 绝缘体相变和拓扑
Metal-insulator phase transition and topology in a three-component system
论文作者
论文摘要
在紧密结合近似的框架中，我们研究了一个非相互作用的模型，该模型具有实际邻居和复杂的下一个最邻居的邻居和较高的邻居，遭受了$λ$或V-Type Sublattice势。通过分析相应的能带的分散体，我们发现该系统经历了金属 - 绝缘体的跃迁，不仅可以通过费米能量调节，而且还可以调节可调的额外参数。此外，通过计算相关乐队的Chern号码来发现丰富的拓扑阶段，包括具有高厅高原的阶段。此外，我们还通过批量边缘对应关系原理分析了边缘状态光谱，并讨论了Chern数字和边缘状态之间的对应关系。
In the framework of the tight binding approximation, we study a non-interacting model on the three-component dice lattice with real nearest-neighbor and complex next-nearest-neighbor hopping subjected to $Λ$- or V-type sublattice potentials. By analyzing the dispersions of corresponding energy bands, we find that the system undergoes a metal-insulator transition which can be modulated not only by the Fermi energy but also the tunable extra parameters. Furthermore, rich topological phases, including the ones with high Hall plateau, are uncovered by calculating the associated band's Chern number. Besides, we also analyze the edge-state spectra and discuss the correspondence between Chern numbers and the edge states by the principle of bulk-edge correspondence.
