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Main Authors: Capecelatro, Roberto, Marciani, Marco, Campagnano, Gabriele, Citro, Roberta, Lucignano, Procolo
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2512.24745
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author Capecelatro, Roberto
Marciani, Marco
Campagnano, Gabriele
Citro, Roberta
Lucignano, Procolo
author_facet Capecelatro, Roberto
Marciani, Marco
Campagnano, Gabriele
Citro, Roberta
Lucignano, Procolo
contents We investigate the electronic transport properties of a superconductor-quantum dot-superconductor Josephson junction coupled to a ferromagnetic metal reservoir in the presence of an external magnetic field. The device is described by an effective non-Hermitian Hamiltonian, whose complex eigenvalues encode the energy (real part) and the broadening (imaginary part) of the Andreev quasi-bound states. When extending the Andreev current formula to the non-Hermitian case, a novel contribution arises that is proportional to the phase derivative of the levels broadening. This term becomes particularly relevant in the presence of exceptional points (EPs) in the spectrum, but its experimental detection is not straightforward. We identify optimal Andreev spectrum configurations where this novel current contribution can be clearly highlighted, and we outline an experimental protocol for its detection. We point out that the phase dependence in the levels imaginary part originates from the breaking of a time-reversal-like symmetry. In particular, spectral configurations in the broken phase of the symmetry and without EPs can be obtained, where this novel contribution can be easily resolved. The proposed protocol would allow to probe for the first time a fingerprint of non-Hermiticity in open junctions that is not strictly related to the presence of EPs.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24745
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
Capecelatro, Roberto
Marciani, Marco
Campagnano, Gabriele
Citro, Roberta
Lucignano, Procolo
Mesoscale and Nanoscale Physics
Superconductivity
We investigate the electronic transport properties of a superconductor-quantum dot-superconductor Josephson junction coupled to a ferromagnetic metal reservoir in the presence of an external magnetic field. The device is described by an effective non-Hermitian Hamiltonian, whose complex eigenvalues encode the energy (real part) and the broadening (imaginary part) of the Andreev quasi-bound states. When extending the Andreev current formula to the non-Hermitian case, a novel contribution arises that is proportional to the phase derivative of the levels broadening. This term becomes particularly relevant in the presence of exceptional points (EPs) in the spectrum, but its experimental detection is not straightforward. We identify optimal Andreev spectrum configurations where this novel current contribution can be clearly highlighted, and we outline an experimental protocol for its detection. We point out that the phase dependence in the levels imaginary part originates from the breaking of a time-reversal-like symmetry. In particular, spectral configurations in the broken phase of the symmetry and without EPs can be obtained, where this novel contribution can be easily resolved. The proposed protocol would allow to probe for the first time a fingerprint of non-Hermiticity in open junctions that is not strictly related to the presence of EPs.
title Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2512.24745