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From superconductor stability and relaxation to Andreev reflections

2022/05/19 by Harald Reiss, Reiss, Harald
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.2205.09582

openalex publication_date 2022/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

How exactly can critical temperature be determined from results obtained in resistivity measurements? An unconventional approach using an electrical resistance network is presented in this paper to find an answer to this question. In a first step, a recently suggested, dynamic relaxation model is refined and extended beyond its proper applicability and competence range (superconductor stability against quench). This step addresses bending of the resistivity vs. temperature curves near critical temperature. In a second step, an alternative solution of the thermal fluctuations problem is presented. From both results, existence of a non-local, transition boundary layer can be postulated, a temperature uncertainty around critical temperature. Finally, severe limitations to calculate total current through superconductor/normal conductor thin film junctions become obvious from this approach if any non-Ohmic contributions (like Andreev reflection or Josephson currents) have to be taken into account. This problem is a parallel to multi-component heat transfer.

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