论文标题

山谷大厅的效应和近调电路中的扭结状态

Valley Hall Effect and Kink States in Topolectrical Circuits

论文作者

Rafi-Ul-Islam, S M, Siu, Zhuo Bin, Sahin, Haydar, Jalil, Mansoor B. A.

论文摘要

我们研究了手性和反射对称性因对称性破裂而在二维顶质(TE)模型中研究拓扑谷大厅和扭结状态的出现。 TE系统由两个部分组成,这些部分托有不同的拓扑状态,具有相反的山谷大厅指数,并以异质结的距离。在实用电路中,可以通过调节各个细分市场的sublattice节点上的现场电位来将山谷大厅指数翻转在两个部分之间。在系统中引入非热性的电阻耦合的存在随后导致了入口光谱中的间隙和无间隙山谷和扭结状态的出现。这些拓扑模式可以通过系统的阻抗读数进行电检测,该系统可以与其入学光谱相关。最后,我们通过逼真的LTSPICE模拟确认了山谷大厅和扭结状态的鲁棒性,这些模拟考虑了电气组件固有的公差窗口和寄生效应。我们的研究证明了TE电路网络作为实现和调整谷数依赖和扭结拓扑现象的平台的适用性。

We investigate the emergence of topological valley Hall and kink states in a two-dimensional topolectrical (TE) model as a result of broken chiral and reflection symmetries. The TE system consists of two segments hosting distinct topological states with opposite signs of the valley Hall index, and separated by a heterojunction. In the practical circuit, the valley Hall index can be flipped between the two segments by modulating the onsite potential on the sublattice nodes of the respective segments. The presence of resistive coupling, which introduces non-Hermiticity in the system, subsequently leads to the emergence of gapped and gapless valley and kink states in the admittance spectra. These topological modes can be detected electrically by the impedance readouts of the system which can be correlated to its admittance spectra. Finally, we confirm the robustness of the valley Hall and kink states via realistic LTspice simulation taking into account the tolerance windows and parasitic effects inherent in circuit components. Our study demonstrates the applicability of TE circuit networks as a platform to realize and tune valley-dependent and kink topological phenomena.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源