In non-Hermitian Josephson junctions the supercurrent includes a term proportional to the phase derivative of Andreev level broadening, providing a detectable signature of non-Hermiticity away from exceptional points.
Furusaki, Dc josephson effect in dirty sns junctions: Numer- ical study, Physica B: Condensed Matter203, 214 (1994)
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Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
In non-Hermitian Josephson junctions the supercurrent includes a term proportional to the phase derivative of Andreev level broadening, providing a detectable signature of non-Hermiticity away from exceptional points.