Square-well model for superconducting pair-potential
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.
Cite
@article{arxiv.2405.07659,
title = {Square-well model for superconducting pair-potential},
author = {Erkki Thuneberg},
journal= {arXiv preprint arXiv:2405.07659},
year = {2024}
}
Comments
12 pages, 6 figures. This version of the article has been accepted for publication in A.F. Andreev Memorial Collection, after peer review but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections