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Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
Mesoscale and Nanoscale Physics · Submitted 28 Feb 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Based on this and other signatures, we argue that left-right basis is not applicable in this case.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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). | contribution 0.98 | 0.83 | 0.02 | asserted 0.92 |
| s1 | We calculate current-voltage characteristics for this junction using left-right and right-right bases and compare the results. | method 0.89 | 0.95 | 0.03 | asserted 0.99 |
| s2 | 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. | result 1.00 | 0.94 | 0.11 | asserted 1.00 |
| s3 | This leads to profound differences in current-voltage characteristics. | interpretation 0.55 | 0.69 | 0.07 | asserted 0.99 |
| s4 | Based on this and other signatures, we argue that left-right basis is not applicable in this case. | interpretation 0.99 | 0.77 | 0.70 | asserted 0.65 |
| s5 | Remarkably, we find that the growth and decay with time of the states with imaginary energies in right-right basis are equilibrated. | result 1.00 | 0.95 | 0.08 | asserted 1.00 |
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The paper
Original 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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How the literature uses it
2 arXiv papers cite this in 2 sentences
What it cites
Cites as background 2 papers
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Non-Hermitian systems are of high interest due to numerous potential applications, exotic behaviour [ref] , and even reformulated quantum mechanics formalism [ref] .
$\mathcal{PT}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective · Introduction · 0.99
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In condensed matter physics, non-Hermitian formalism and in particular PT-symmetric systems have also started to receive interest [ref] .
Electric conductivity in non-Hermitian holography · Introduction · 0.96
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