论文标题
绿色的功能方法，用于具有磁性和超导区域的拓扑绝缘体连接
A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions
论文作者
论文摘要
这项工作提出了一种绿色的功能方法，该方法最初在石墨烯中具有明确定义的边缘，并具有强大的3D拓扑绝缘子（TI）的表面，并具有一系列接近近端的超导（S）和铁磁（F）表面的序列。这包括通过渐近溶液方法衍生每个区域的绿色功能，以及通过紧密结合的哈密顿量与dyson方程的耦合，以获得系统的全绿色功能。这些函数允许直接计算状态的动量分辨光谱密度，子仪界面状态的识别以及差分电导的派生，以衍生该连接的各种构型。我们说明了该方法在具有两个区域和三个区域的一些简单系统中的应用，找到了NF接口处的量子异常效应（QAHE）的特征性手性状态，以及在NS接口处的手性majoriagana模式。最后，我们讨论了三个区域连接中存在的一些几何效应，例如弱的Fabry-Pérot共振和Andreeve Body Body态。
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.
