Square-well Model for Superconducting Pair Potential

Erkki Thuneberg*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
42 Downloads (Pure)

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 languageEnglish
Pages (from-to)12-23
Number of pages12
JournalJournal of Low Temperature Physics
Volume217
Issue number1-2
Early online date14 Jun 2024
DOIs
Publication statusPublished - Oct 2024
MoE publication typeA1 Journal article-refereed

Keywords

  • Andreev bound state
  • Josephson current
  • SNS junction
  • Square-well pair potential

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