论文标题
相互作用的纳米线中包含拓扑约瑟夫森连接的零能量准粒子
Zero-energy quasiparticles in an interacting nanowire containing a topological Josephson junction
论文作者
论文摘要
我们研究了具有颗粒 - 孔对称最近邻居相互作用的基塔夫链中的约瑟夫森连接。当整个连接点的相位差为$π$时，我们在分析上表明，整个频谱是四倍的归化，直到在系统大小中呈指数级消失的校正。已知链末端的主要结合状态可以在相互作用中生存。我们的结果证明，对于位于连接处的零能量准粒子而言，情况也是如此。我们进一步研究有限尺寸的校正，并显示排斥相互作用如何导致端到端相关性比具有相同批量间隙的非互动系统更强。
We study a Josephson junction in a Kitaev chain with particle-hole symmetric nearest neighbor interactions. When the phase difference across the junction is $π$, we show analytically that the full spectrum is fourfold degenerate up to corrections that vanish exponentially in the system size. The Majorana bound states at the ends of the chain are known to survive interactions. Our result proves that the same is true for the zero-energy quasiparticle localized at the junction. We further study finite size corrections numerically, and show how repulsive interactions lead to stronger end-to-end correlations than in a noninteracting system with the same bulk gap.
