论文标题
量子厅边缘上的Majorana fermions
Majorana fermions on the quantum Hall edge
论文作者
论文摘要
超导性和量子厅效应被认为是凝结物理学的两个基石。这两种效应共存的混合结构的实现最近已成为一个积极的研究领域。在这项工作中，我们研究了约瑟夫森交界处，其中量子厅政权中的一个中央区域与超导体相邻，可以将其驱动到具有外部Zeeman场的拓扑阶段。在这个制度中，在每个超导铅夫妇的末端出现的主要模式到手性量子厅边缘状态。这会在Andreev水平和Fraunhofer模式中产生可区分的特征，这些特征不仅可以帮助检测拓扑相变，而且还可以帮助检测这些异国情调的准粒子的自由度。在整个拓扑跃迁中，当前相位关系和连接的光谱特性通过数值紧密结合计算充分描述。根据对这些结果的理解，我们开发了一个低能的刺激模型，该模型在拓扑阶段捕获了数值传输模拟的主要特征。
Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this work, we study a Josephson junction where a central region in the quantum Hall regime is proximitized with superconductors that can be driven to a topological phase with an external Zeeman field. In this regime, the Majorana modes that emerge at the ends of each superconducting lead couple to the chiral quantum Hall edge states. This produces distinguishable features in the Andreev levels and Fraunhofer patterns that could help in detecting not only the topological phase transition but also the spin degree of freedom of these exotic quasiparticles. The current phase relation and the spectral properties of the junction throughout the topological transition are fully described by a numerical tight-binding calculation. In pursuance of the understanding of these results, we develop a low-energy spinful model that captures the main features of the numerical transport simulations in the topological phase.
