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Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions

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arxiv 2310.02933 v2 pith:RARFKXI6 submitted 2023-10-04 cond-mat.mes-hall cond-mat.supr-con

Peter Zalom , Martin Žonda , T. Novotný This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.supr-con
keywords coulombhiddenjosephsonjunctionleadsmulti-terminalsuperconductingsymmetry
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abstract

We study a multi-terminal Josephson junction based on an interacting quantum dot coupled to $n$ superconducting BCS leads. Using an Anderson type model of a local level with an arbitrary onsite Coulomb repulsion, we uncover its surprising equivalence with an effective two-terminal junction with symmetric couplings to appropriately phase-biased leads. Regardless of the strength of the Coulomb interaction, this hidden symmetry enables us to apply well-established numerical and theoretical tools for exact evaluation of various physical quantities, and imposes strict relations among them. Focusing on three-terminal devices, we then demonstrate several phenomena such as the existence of the finite energy band crossings, superconducting transistor and diode effects, as well as current phase relation modulation.

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