### 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 |
---|---|

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 |

### Fingerprint

### 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.

**Conductance oscillations in a multi-branch Andreev interferometer.** / Lee, W.; Lee, Cheol Eui; Choi, B. K.

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 51, no. 6, pp. 2019-2025.

}

TY - JOUR

T1 - Conductance oscillations in a multi-branch Andreev interferometer

AU - Lee, W.

AU - Lee, Cheol Eui

AU - Choi, B. K.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

KW - Andreev interferometer

KW - Conductance oscillation

UR - http://www.scopus.com/inward/record.url?scp=38549156517&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38549156517&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 2019

EP - 2025

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - 6

ER -