标题： 可调谐的马约拉纳角态由垂直约瑟夫森结中的超导相位偏置驱动 显示英文标题

标题： Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction

摘要： 实现和操控马约拉纳零模是实现拓扑量子计算的关键步骤。 在本文中，我们展示了在超导-绝缘体-超导垂直约瑟夫森结中存在马约拉纳角态。 这些马约拉纳角态的位置可以通过超导相位偏置精确且容易地控制，这通过数值和边缘态理论分析得到了确认。 此外，我们提出了一种在三个圆形垂直约瑟夫森结系统中实现马约拉纳角态拓扑编织的协议。 我们的研究通过提供对马约拉纳角态高效精确操控的新见解，推动了拓扑量子计算领域的发展。 显示英文摘要

摘要： The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical Josephson junction. The position of these Majorana corner states can be precisely and easily controlled by the superconducting phase bias, which be confirmed through both numerical and edge state theoretical analysis. In addition, we propose a protocol for achieving topological braiding of the Majorana corner states in a system of three circular vertical Josephson junctions. Our findings advance the field of topological quantum computation by providing new insights into the efficient and precise manipulation of Majorana corner states.