Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms

Abstract

We study theoretically a junction consisting of a normal metal, PT-symmetric non-Hermitian superconductor, and an insulating thin layer between them (N-I-PTS junction). We calculate current-voltage characteristics for this junction using left-right and right-right bases and compare the results. We find that in the left-right basis, the Andreev-scattered particles move in the opposite direction compared to the right-right basis and conventional Andreev scattering. This leads to profound differences in current-voltage characteristics. Based on this and other signatures, we argue that left-right basis is not applicable in this case. Remarkably, we find that the growth and decay with time of the states with imaginary energies in right-right basis are equilibrated.

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• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Non-Hermitian superconducting diode effect
• Universal hard-edge statistics of non-Hermitian random matrices
• Electric conductivity in non-Hermitian holography
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Meissner effect in non-Hermitian superconductors
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions