### Abstract

A de SQUID consisting of grain boundary Josephson junctions may often be asymmetric owing to the large critical-current spread. In this work, the probability density function (PDF) for the critical-current asymmetry of high-transition-temperature-superconductor (HTS) dc SQUID was investigated. To model the critical-current spread in the grain boundaries, we assumed that the barrier thickness of the Josephson junction fluctuated according to a log-Weibull distribution. The resultant PDF for the critical-current spread that fits the histogram data of critical currents reported in literature was the gamma distribution. With the proposed distribution function, the corresponding PDF for the critical-current asymmetry parameter of a HTS dc SQUID was derived and compared with the experimental result. The proposed gamma distribution function is useful in modeling devices, such as the SQUID array and the superconducting quantum interference grating, consisting of many grain-boundary Josephson junctions.

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

Pages (from-to) | 1117-1122 |

Number of pages | 6 |

Journal | Journal of the Korean Physical Society |

Volume | 48 |

Issue number | 5 I |

Publication status | Published - 2006 May 1 |

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### Keywords

- Critical-current asymmetry
- Dc SQUID

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Korean Physical Society*,

*48*(5 I), 1117-1122.

**Probability density function for the critical current asymmetry of a HTS dc SQUID.** / Jeng, J. T.; Lin, Y. C.; Huang, K. H.; Wu, C. H.; Chen, K. L.; Chen, J. C.; Yang, H. C.; Liao, S. H.; Horng, H. E.

Research output: Contribution to journal › Article

*Journal of the Korean Physical Society*, vol. 48, no. 5 I, pp. 1117-1122.

}

TY - JOUR

T1 - Probability density function for the critical current asymmetry of a HTS dc SQUID

AU - Jeng, J. T.

AU - Lin, Y. C.

AU - Huang, K. H.

AU - Wu, C. H.

AU - Chen, K. L.

AU - Chen, J. C.

AU - Yang, H. C.

AU - Liao, S. H.

AU - Horng, H. E.

PY - 2006/5/1

Y1 - 2006/5/1

N2 - A de SQUID consisting of grain boundary Josephson junctions may often be asymmetric owing to the large critical-current spread. In this work, the probability density function (PDF) for the critical-current asymmetry of high-transition-temperature-superconductor (HTS) dc SQUID was investigated. To model the critical-current spread in the grain boundaries, we assumed that the barrier thickness of the Josephson junction fluctuated according to a log-Weibull distribution. The resultant PDF for the critical-current spread that fits the histogram data of critical currents reported in literature was the gamma distribution. With the proposed distribution function, the corresponding PDF for the critical-current asymmetry parameter of a HTS dc SQUID was derived and compared with the experimental result. The proposed gamma distribution function is useful in modeling devices, such as the SQUID array and the superconducting quantum interference grating, consisting of many grain-boundary Josephson junctions.

AB - A de SQUID consisting of grain boundary Josephson junctions may often be asymmetric owing to the large critical-current spread. In this work, the probability density function (PDF) for the critical-current asymmetry of high-transition-temperature-superconductor (HTS) dc SQUID was investigated. To model the critical-current spread in the grain boundaries, we assumed that the barrier thickness of the Josephson junction fluctuated according to a log-Weibull distribution. The resultant PDF for the critical-current spread that fits the histogram data of critical currents reported in literature was the gamma distribution. With the proposed distribution function, the corresponding PDF for the critical-current asymmetry parameter of a HTS dc SQUID was derived and compared with the experimental result. The proposed gamma distribution function is useful in modeling devices, such as the SQUID array and the superconducting quantum interference grating, consisting of many grain-boundary Josephson junctions.

KW - Critical-current asymmetry

KW - Dc SQUID

UR - http://www.scopus.com/inward/record.url?scp=33745015780&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33745015780&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33745015780

VL - 48

SP - 1117

EP - 1122

JO - Journal of the Korean Physical Society

JF - Journal of the Korean Physical Society

SN - 0374-4884

IS - 5 I

ER -