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arXiv 2402.12693cond-mat.mes-hall
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高阶拓扑绝缘体中的拓扑纳米开关

Topological nano-switches in higher-order topological insulators

Joseph Poata, Fabio Taddei, Michele Governale

AI总结:

本文研究面内磁场调控二维二阶拓扑绝缘体矩形薄片中角态输运的机制,提出通过旋转磁场方向实现双端开关及三端定向开关,并证明该拓扑纳米开关对强无序具有鲁棒性。

摘要:

我们考虑在面内磁场存在下,通过二维拓扑绝缘体矩形薄片的多端输运。该系统已被证明是二阶拓扑绝缘体,因此在其边界处表现出角态。角态的位置及其衰减长度可以通过磁场方向来控制。在导线中,我们假设磁场不存在,因此我们具有自旋霍尔效应特有的一维螺旋传播态。利用低能有效哈密顿量,我们解析地证明,在双端设置中,可以通过旋转面内磁场来开启和关闭输运。类似地,在三端配置中,面内磁场可用于开启和关闭相邻接触之间的透射,从而实现定向开关。解析计算辅以数值有限差分方法。对于较小的费米能量和场强值,解析结果与数值结果非常吻合。无序效应也在数值方法中得到了处理。我们发现,由于参与电子输运的态的拓扑性质,开关功能对强无序的存在具有显著的鲁棒性。

英文摘要:

We consider multi-terminal transport through a flake of rectangular shape of a two-dimensional topological insulator in the presence of an in-plane magnetic field. This system has been shown to be a second-order topological insulator, thus exhibiting corner states at its boundaries. The position of the corner states and their decay length can be controlled by the direction of the magnetic field. In the leads we assume that the magnetic field is absent and therefore we have helical one-dimensional propagating states characteristic of the spin-Hall effect. Using a low-energy effective Hamiltonian we show analytically that, in a two-terminal setup, transport can be turned on and off by a rotation of the in-plane magnetic field. Similarly, in a three terminal configuration, the in-plane magnetic field can be used to turn on and off the transmission between neighbouring contacts, thus realising a directional switch. Analytical calculations are supplemented by a numerical finite-difference method. For small values of the Fermi energy and field strength, the analytical results agree exceptionally well with the numerics. The effect of disorder is also addressed in the numerical approach. We find that the switching functionality is remarkably robust to the presence of strong disorder stemming from the topological nature of the states contributing to the electron transport.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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