Non-Hermitian multiterminal phase-biased Josephson junctions

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.

8 pages, 5 figures. Published version

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Cited by in corpus (12)

• Non-hermitian topology in multiterminal superconducting junctions
• Non-Hermitian minimal Kitaev chains
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Non-Hermitian superconducting diode effect
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Signatures of exceptional points in multiterminal superconductor-normal metal junctions
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Enhancement of the topological regime in elongated Josephson junctions
• The Josephson effect in Fibonacci superconductors
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions