arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2004.07858cond-mat.mes-hallcond-mat.supr-con
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具有磁性和超导区的拓扑绝缘体结的格林函数方法

A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions

Oscar E. Casas, Shirley Gómez Páez, William J. Herrera

摘要:

这项工作提出了一个格林函数的方法,最初实施的石墨烯与明确的边缘,一个强大的三维拓扑绝缘体(TI)的表面与一系列的邻近超导(S)和铁磁(F)的表面。这包括推导的格林函数为每个区域的渐近解的方法,和他们的耦合紧束缚哈密顿与戴森方程,以获得完整的格林函数的系统。这些功能允许直接计算的动量分辨谱密度的状态,子间隙界面状态的识别,和各种各样的配置的结的微分电导的推导。我们举例说明了这种方法的应用程序的一些简单的系统与两个和三个区域,发现的特征手征态的量子反常霍尔效应(QAHE)在NF界面,手征Majorana模式在NS界面。最后,我们讨论了三区结中存在的一些几何效应,如弱Fabry-Pérot共振和Andreev束缚态。

英文摘要:

This work presents a Green's function approach, originally implemented in graphene with well-defined edges, to the surface of a strong 3D Topological Insulator (TI) with a sequence of proximitized superconducting (S) and ferromagnetic (F) surfaces. This consists of the derivation of the Green's functions for each region by the asymptotic solutions method, and their coupling by a tight-binding Hamiltonian with the Dyson equation to obtain the full Green's functions of the system. These functions allow the direct calculation of the momentum-resolved spectral density of states, the identification of subgap interface states, and the derivation of the differential conductance for a wide variety of configurations of the junctions. We illustrate the application of this method for some simple systems with two and three regions, finding the characteristic chiral state of the Quantum Anomalous Hall Effect (QAHE) at the NF interfaces, and chiral Majorana modes at the NS interfaces. Finally, we discuss some geometrical effects present in three-region junctions such as weak Fabry-Pérot resonances and Andreev bound states.

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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