### Abstract

The conductance, g(ø), of a comb-shaped N-branch Andreev interferometer is calculated as a function of the phase difference, ø, between the adjacent superconducting order parameters. In the ballistic regime, the scattering matrix theory predicts for the conductivity a typical N-branch interference pattern, that is, a 2π-periodic ø dependence with a fine oscillation of the period 2π/(N -1), while for a diffusive system with barriers between the vertices the quasiclassical circuit theory yields a simple 2π-periodic conductance regardless of N. With ensemble averaging in the scattering matrix theory, the fine oscillations get washed out, resulting in a simple π-periodic conductance. In star-shaped interferometers with all the N normal vertices merged into a single vertex, the conductance exhibits similar N-branch interference patterns regardless of whether the conduction is ballistic or diffusive or whether it is ensemble-averaged or not.

Original language | English |
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Pages (from-to) | 2019-2025 |

Number of pages | 7 |

Journal | Journal of the Korean Physical Society |

Volume | 51 |

Issue number | 6 |

Publication status | Published - 2007 Dec 1 |

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### Keywords

- Andreev interferometer
- Conductance oscillation

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Korean Physical Society*,

*51*(6), 2019-2025.