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Condensed Matter > Superconductivity
Title: Josephson effect in a junction coupled to an electron reservoir
(Submitted on 22 Apr 2024 (v1), last revised 24 Apr 2024 (this version, v2))
Abstract: We extend the scattering theory of the Josephson effect to include a coupling of the Josephson junction to a gapless electron reservoir in the normal state. By opening up the system with a quasiparticle escape rate $1/\tau$, the supercurrent carried at zero temperature by an Andreev level at energy $\varepsilon_{\rm A}$ is reduced by a factor $(2/\pi)\arctan(2\varepsilon_{\rm A}\tau/\hbar)$ . We make contact with recent work on "non-Hermitian Josephson junctions", by comparing this result to different proposed generalizations of the Josephson effect to non-Hermitian Hamiltonians.
Submission history
From: C. W. J. Beenakker [view email][v1] Mon, 22 Apr 2024 08:38:57 GMT (197kb,D)
[v2] Wed, 24 Apr 2024 13:41:08 GMT (197kb,D)
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