Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
arxiv(2023)
摘要
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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