Square-well Model for Superconducting Pair Potential

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2024-10
Major/Subject
Mcode
Degree programme
Language
en
Pages
12
Series
Journal of Low Temperature Physics, Volume 217, issue 1-2, pp. 12-23
Abstract
We study Andreev reflection in a one-dimensional square-well pair potential. We discuss the history of the model. The current-phase relation is presented as a sum over Matsubara frequencies. How the current arises from bound and continuum levels is found by analytic continuation. We discuss two limiting cases of the square-well potential, the zero-length well and the infinite well. The model is quantitatively valid in some cases but forms the basis for understanding a wide range of problems in inhomogeneous superconductivity and superfluidity.
Description
Publisher Copyright: © The Author(s) 2024.
Keywords
Andreev bound state, Josephson current, SNS junction, Square-well pair potential
Other note
Citation
Thuneberg, E 2024, ' Square-well Model for Superconducting Pair Potential ', Journal of Low Temperature Physics, vol. 217, no. 1-2, pp. 12-23 . https://doi.org/10.1007/s10909-024-03169-z