Shapiro-step identifiability in YBCO Josephson weak links: A branch-paired reanalysis
- 1Department of Mechanical Engineering and Mechatronics, Faculty of Engineering, Ariel University, Ariel 40700, Israel
Abstract
An RF-driven Josephson weak link can retain a measurable response maximum after that maximum ceases to identify the first Shapiro-step voltage. We reanalyse archived antenna-coupled YBCO measurements using a branch-paired, continuity-aware framework that separates symmetric voltage detuning from common-mode offset and permits an explicit non-identifiable outcome. The source archive comprises 181 TXT entries; the preserved analysis cohort contains 134 distinct RF-exposed records. At 155 GHz, Device A retains paired errors of 0.467–0.539% from 10 to 50 K, develops a 3.481% paired displacement at nominal 60 K, and yields no defensible first-step assignment in ten standard-frequency records at nominal 70 K despite persistent maxima. Device B remains identifiable at all 15 nominally matched temperature–frequency conditions and in 14/14 available nominal-70 K RF records (0.560% RMS error). Across 20 documented sensitivity settings, the broad condition-level interpretation is maintained, with two isolated false-positive acceptances under stress settings. A constrained overlapping-response reconstruction reproduces the displaced maximum, while fits to native acquired I–V samples also admit a flexible asymmetric single-response description; the microscopic decomposition is not identified. The results establish a practical distinction between detecting a maximum and assigning an identifiable Shapiro-step voltage, while documenting the uncertainty and configuration-comparison limits of the historical measurements.
Related
- Majorana-like Josephson branch structure in one-dimensional transport of cold atoms
- Shapiro spikes in driven quantum fluids
- Shapiro steps of superfluid Fermi gases in a ring trap across the BCS--BEC crossover
- A Dispersive Bootstrap for the Virasoro-Shapiro Amplitude
- Dual Shapiro steps and fundamental transconductance in the dc-driven Bloch transistor
BibTeX
@article{holdengreber2026shapirostep,
title = {{Shapiro-step identifiability in YBCO Josephson weak links: A branch-paired reanalysis}},
author = {Eldad Holdengreber},
journal = {Results in Physics},
year = {2026},
month = oct,
doi = {10.1016/j.rinp.2026.108771},
url = {https://doi.org/10.1016/j.rinp.2026.108771},
note = {CC BY},
}
RIS
TY - JOUR
TI - Shapiro-step identifiability in YBCO Josephson weak links: A branch-paired reanalysis
AU - Eldad Holdengreber
PY - 2026
DA - 2026/10/30
JO - Results in Physics
DO - 10.1016/j.rinp.2026.108771
UR - https://doi.org/10.1016/j.rinp.2026.108771
AB - An RF-driven Josephson weak link can retain a measurable response maximum after that maximum ceases to identify the first Shapiro-step voltage. We reanalyse archived antenna-coupled YBCO measurements using a branch-paired, continuity-aware framework that separates symmetric voltage detuning from common-mode offset and permits an explicit non-identifiable outcome. The source archive comprises 181 TXT entries; the preserved analysis cohort contains 134 distinct RF-exposed records. At 155 GHz, Device A retains paired errors of 0.467–0.539% from 10 to 50 K, develops a 3.481% paired displacement at nominal 60 K, and yields no defensible first-step assignment in ten standard-frequency records at nominal 70 K despite persistent maxima. Device B remains identifiable at all 15 nominally matched temperature–frequency conditions and in 14/14 available nominal-70 K RF records (0.560% RMS error). Across 20 documented sensitivity settings, the broad condition-level interpretation is maintained, with two isolated false-positive acceptances under stress settings. A constrained overlapping-response reconstruction reproduces the displaced maximum, while fits to native acquired I–V samples also admit a flexible asymmetric single-response description; the microscopic decomposition is not identified. The results establish a practical distinction between detecting a maximum and assigning an identifiable Shapiro-step voltage, while documenting the uncertainty and configuration-comparison limits of the historical measurements.
SN - 2211-3797
ER -