论文标题
当前 - 拓扑约瑟夫森交界处的相对关系:安德烈·波段与散射状态
Current--phase relation in a topological Josephson junction: Andreev bands vs. scattering states
论文作者
论文摘要
我们考虑在3D拓扑绝缘子(TI)的2D表面上形成的长拓扑约瑟夫森连接。超导相关性是由覆盖表面的S波超导体诱导的。覆盖物之间的1D间距是由磁绝缘子未填充的,要么是填充的。通常,由Ti表面介导的Josephson电流由散射模式以及位于交界处的状态(Andreev Bound状态或Andreev带)确定。我们发现,要考虑两种贡献以确定拓扑约瑟夫森连接的当前相关关系至关重要。我们分析了约瑟夫森电流对连接厚度的依赖性以及偏离当前 - 相位关系的正弦形状的偏差。
We consider a long topological Josephson junction formed on a conducting 2D surface of a 3D topological insulator (TI). The superconducting correlations are proximity-induced by s-wave superconductors covering the surface. The 1D spacing between the coverings is either unfilled or filled by a magnetic insulator. Generally, the Josephson current mediated by the TI surface is determined by scattering modes as well as by the states localized around the junction (Andreev bound states or Andreev bands). We find out that it is crucial to take into account both contributions to determine the current--phase relation of the topological Josephson junction. We analyze the dependence of the Josephson current on the thickness of the junction as well as the deviations from the sinusoidal shape of the current--phase relation.