### Abstract

We calculated electronic states and Josephson currents for superconducting multilayers with one-dimensional SISIS and SNSNS junctions, where S is a superconductor, I, an insulator, and N, a normal metal. We obtained numerical solutions of the Bogoliubov-de Gennes equations for the case where the Fermi wavelength of quasi-electrons and quasi-holes is comparable to the coherence length, barrier width, and thickness of the intermediate superconductor. It was found that the maximum Josephson current has a peak structure as a function of barrier height slightly above the Fermi energy, because of resonant tunneling of quasi-electrons and quasi-holes. Though the maximum Josephson current of the SNSNS double junction is smaller than that of the SNS single junction, the maximum Josephson current of the SISIS junction is larger than that of the SIS junction for a range of barrier heights above the Fermi energy. The Josephson current is a superposition of sin(φ/2) and sin φ terms, where φ is a phase difference of the superconductors in both ends. The sin(φ/2) term is dominant for the SISIS junction, while the sin φ term dominates the SNSNS junction, and their coefficients vary continuously as a function of the barrier height.

Original language | English |
---|---|

Pages (from-to) | 62-68 |

Number of pages | 7 |

Journal | Physica C: Superconductivity and its Applications |

Volume | 350 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 2001 Feb 1 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physica C: Superconductivity and its Applications*,

*350*(1-2), 62-68. https://doi.org/10.1016/S0921-4534(00)01570-7

**Resonant states and currents in superconducting multilayers.** / Ishikawa, Hideaki; Kurihara, Susumu; Enomoto, Youichi.

Research output: Contribution to journal › Article

*Physica C: Superconductivity and its Applications*, vol. 350, no. 1-2, pp. 62-68. https://doi.org/10.1016/S0921-4534(00)01570-7

}

TY - JOUR

T1 - Resonant states and currents in superconducting multilayers

AU - Ishikawa, Hideaki

AU - Kurihara, Susumu

AU - Enomoto, Youichi

PY - 2001/2/1

Y1 - 2001/2/1

N2 - We calculated electronic states and Josephson currents for superconducting multilayers with one-dimensional SISIS and SNSNS junctions, where S is a superconductor, I, an insulator, and N, a normal metal. We obtained numerical solutions of the Bogoliubov-de Gennes equations for the case where the Fermi wavelength of quasi-electrons and quasi-holes is comparable to the coherence length, barrier width, and thickness of the intermediate superconductor. It was found that the maximum Josephson current has a peak structure as a function of barrier height slightly above the Fermi energy, because of resonant tunneling of quasi-electrons and quasi-holes. Though the maximum Josephson current of the SNSNS double junction is smaller than that of the SNS single junction, the maximum Josephson current of the SISIS junction is larger than that of the SIS junction for a range of barrier heights above the Fermi energy. The Josephson current is a superposition of sin(φ/2) and sin φ terms, where φ is a phase difference of the superconductors in both ends. The sin(φ/2) term is dominant for the SISIS junction, while the sin φ term dominates the SNSNS junction, and their coefficients vary continuously as a function of the barrier height.

AB - We calculated electronic states and Josephson currents for superconducting multilayers with one-dimensional SISIS and SNSNS junctions, where S is a superconductor, I, an insulator, and N, a normal metal. We obtained numerical solutions of the Bogoliubov-de Gennes equations for the case where the Fermi wavelength of quasi-electrons and quasi-holes is comparable to the coherence length, barrier width, and thickness of the intermediate superconductor. It was found that the maximum Josephson current has a peak structure as a function of barrier height slightly above the Fermi energy, because of resonant tunneling of quasi-electrons and quasi-holes. Though the maximum Josephson current of the SNSNS double junction is smaller than that of the SNS single junction, the maximum Josephson current of the SISIS junction is larger than that of the SIS junction for a range of barrier heights above the Fermi energy. The Josephson current is a superposition of sin(φ/2) and sin φ terms, where φ is a phase difference of the superconductors in both ends. The sin(φ/2) term is dominant for the SISIS junction, while the sin φ term dominates the SNSNS junction, and their coefficients vary continuously as a function of the barrier height.

UR - http://www.scopus.com/inward/record.url?scp=0035252216&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035252216&partnerID=8YFLogxK

U2 - 10.1016/S0921-4534(00)01570-7

DO - 10.1016/S0921-4534(00)01570-7

M3 - Article

AN - SCOPUS:0035252216

VL - 350

SP - 62

EP - 68

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 1-2

ER -