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Topological indices, defects, and Majorana fermions in chiral superconductors

机译:手性超导体中的拓扑指数,缺陷和马约拉那费米子

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摘要

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional (2D) chiral superconductors which belong to class D of the topological periodic table. A rich phase diagram is revealed. Each phase is characterized by the topological invariants for 2D (Z) and 1D (Z_2), which lead to the Majorana fermion at the edge dislocation and the core of the vortex. Interference of the Majorana fermions originating from the different topological invariants is studied. The stability of the Majorana fermion with respect to the interlayer coupling, i.e., in 3D, is also examined.
机译:我们从理论上研究拓扑不变变量在二维(2D)手性超导体模型中保护Majorana费米子的作用,该模型属于拓扑周期表的D类。显示了丰富的相图。每个阶段的特征是2D(Z)和1D(Z_2)的拓扑不变量,这导致边缘错位和涡旋核心处的Majorana费米子。研究了来自不同拓扑不变量的马约拉那费米子的干扰。还检查了马里亚纳费米子相对于层间耦合的稳定性,即在3D中的稳定性。

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