Square-well model for superconducting pair-potential
arXiv:2405.07659 · doi:10.1007/s10909-024-03169-z
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.
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