杂质对原子交错链中拓扑边界和边缘态局域化的影响:SSH模型及其拓扑电路实现
Impact of impurities on the topological boundaries and edge state localization in a staggered chain of atoms: SSH model and its topoelectrical circuit realization
AI总结:
本研究通过紧束缚模型和拓扑电路模拟,探究嵌入杂质超晶格对SSH模型拓扑边界及边缘态局域化的影响,发现杂质跳跃振幅可放宽相边界条件并增强局域化。
摘要:
我们研究了Su-Schrieffer-Hegger模型(拓扑绝缘体最简单的实现之一)在嵌入杂质超晶格存在下的行为。通过改变杂质与其最近邻原子之间的跳跃振幅,我们考察了该杂质对拓扑边界以及原子链中边缘态局域化的影响。在紧束缚方法和拓扑电路模拟中,我们考虑了三种不同的杂质跳跃振幅。我们发现,对于拓扑平凡和非平凡相边界,跳跃参数之间的条件有所放宽,并且边缘态局域化更加显著,这取决于杂质在超晶胞中的位置。
英文摘要:
We study the Su-Schrieffer-Hegger model, perhaps the simplest realization of a topological insulator, in the presence of an embedded impurity superlattice. We consider the impact of the said impurity by changing the hopping amplitudes between them and their nearest neighbors in the topological boundaries and the edge state localization in the chain of atoms. Within a tight-binding approach and through a topolectrical circuit simulation, we consider three different impurity-hopping amplitudes. We found a relaxation of the condition between hopping parameters for the topologically trivial and non-trivial phase boundary and a more profound edge state localization given by the impurity position within the supercell.
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