标题： 手性选择性邻近效应：手性$p$-波超导体与量子霍尔绝缘体之间的相互作用 显示英文标题

标题： Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators

摘要： 超导体和量子霍尔绝缘体的异质结构是拓扑量子计算有前景的平台。然而，在强磁场、迈斯纳效应和手性等方面，这两个系统存在不兼容性。在这项工作中，我们研究了超导近邻效应在量子霍尔态体内的工作条件，并确定了漩涡晶格无论配对对称性如何都发挥着至关重要的作用。我们将这一发现扩展到手性$p$-波超导体（混合态）和整数量子霍尔绝缘体的异质结构中。近邻效应根据相对手性选择性地在最低朗道能级上起作用。如果手性一致，则会发生拓扑相变，转变为拓扑超导体。 显示英文摘要

摘要： Heterostructures of superconductors and quantum-Hall insulators are promising platforms of topological quantum computation. However, these two systems are incompatible in some aspects such as a strong magnetic field, the Meissner effect, and chirality. In this work, we address the condition that the superconducting proximity effect works in the bulk of quantum Hall states, and identify an essential role played by the vortex lattice regardless of pairing symmetry. We extend this finding to a heterostructure of a chiral $p$-wave superconductor in the mixed state and an integer quantum Hall insulator. The proximity effect works selectively in the lowest Landau level depending on relative chiralities. If the chiralities align, a topological phase transition to a topological superconductor occurs.