Non-Hermitian multiterminal phase-biased Josephson junctions

Jorge Cayao, Masatoshi Sato
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Abstract

We study non-Hermitian Josephson junctions formed by multiple superconductors and discover the emergence of exceptional points entirely determined by the interplay of the distinct superconducting phases and non-Hermiticity due to normal reservoirs. In particular, in Josephson junctions with three and four superconductors, we find stable lines and surfaces of exceptional points protected by non-Hermitian topology and highly tuneable by the superconducting phases. We also discover that, in Josephson junctions formed by laterally coupled superconductors, exceptional points can result from hybridized Andreev bound states and lead to the enhancement of supercurrents controlled by dissipation. Our work unveils the potential of multi-terminal Josephson junctions for realizing higher dimensional topological non-Hermitian superconducting phenomena.
非ermitian 多端相位偏置约瑟夫森结
我们研究了由多个超导体形成的非ermitian 约瑟夫森结,发现特殊点的出现完全由不同超导相的相互作用和正常储层导致的非ermitian 所决定。特别是在由三个和四个超导体组成的约瑟夫森结中,我们发现了由非赫米提拓扑学保护的稳定的超常点线和面,这些线和面受超导相的影响很大。我们还发现,在由横向耦合超导体形成的约瑟夫森结中,超常点可能来自杂化的安德烈夫bound 状态,并导致由耗散控制的超电流增强。我们的研究揭示了多端约瑟夫森结在实现更高维拓扑非赫尔墨斯超导现象方面的潜力。
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