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.
Original language | English |
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Pages (from-to) | 12-23 |
Number of pages | 12 |
Journal | Journal of Low Temperature Physics |
Volume | 217 |
Issue number | 1-2 |
Early online date | 14 Jun 2024 |
DOIs | |
Publication status | Published - Oct 2024 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Andreev bound state
- Josephson current
- SNS junction
- Square-well pair potential