论文标题
由常规和$ \ Mathcal {pt} $形成的交界处的Andreev Bound State
Andreev bound states in junctions formed by conventional and $\mathcal{PT}$-symmetric non-Hermitian superconductors
论文作者
论文摘要
从理论上讲，我们研究了$ \ Mathcal {pt} $ - 对称的非弱点超导体（PTS），位于两个常规超导体之间。我们表明，由于PTS区域中的非热电子电子相互作用和对称性的组合，只有常规超导体的阶段的离散值产生了Andreev结合状态的解决方案。值得注意的是，在$ 0 $和$π$的情况下，我们会在时代安德烈（Andreev）绑定的状态下获得增长和衰败。对于$π/2 $和$3π/2 $，有一个主要的零模式，通过一个方向穿透了一个方向，形成了准粒子超级流。
We study theoretically a junction of a $\mathcal{PT}$-symmetric non-Hermitian superconductor (PTS) placed between two conventional superconductors. We show that due to non-Hermitian electron-electron interaction in the PTS region and the combination of symmetries, only discrete values of phases of the conventional superconductors yield solutions for Andreev bound states. Remarkably, in the case of $0$ and $π$, we obtain growing and decaying in time Andreev bound states. For $π/2$ and $3π/2$, there is a Majorana zero mode penetrating through the junction in only one direction forming a quasiparticle supercurrent.
