论文标题
磁性季度系统中的界面电流和角状态
Interface currents and corner states in magnetic quarter-plane systems
论文作者
论文摘要
我们研究了沿两个$ 2 $ -D $磁系统的界面沿界面的电流传播，其中一个占据了飞机的第一个象限。通过考虑紧密结合的近似模型和K理论，我们证明，对于由每个单个系统的两个散装拓扑不变的差异给出的整数数字，对此类界面电流进行了量化。我们进一步陈述了为这类基础系统产生角状态的必要条件，我们表明它们具有拓扑保护的渐近造物。
We study the propagation of currents along the interface of two $2$-$d$ magnetic systems, where one of them occupies the first quadrant of the plane. By considering the tight-binding approximation model and K-theory, we prove that, for an integer number that is given by the difference of two bulk topological invariants of each individual system, such interface currents are quantized. We further state the necessary conditions to produce corner states for these kinds of underlying systems, and we show that they have topologically protected asymptotic invariants.
