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Chin. Phys. B, 2011, Vol. 20(2): 027401    DOI: 10.1088/1674-1056/20/2/027401

A new model analysis of the third harmonic voltage in inductive measurement for critical current density of superconducting films

Zhang Xu(张旭),Wu Zhi-Zhen(吴之珍),Zhou Tie-Ge(周铁戈), He Ming(何明), Zhao Xin-Jie(赵新杰),Yan Shao-Lin(阎少林),and Fang Lan(方兰)
Department of Electronic Information Science and Technology, College of Information Technical Science, Nankai University, Tianjin 300071, China
Abstract  The critical current density Jc is one of the most important parameters of high temperature superconducting films in superconducting applications, such as superconducting filter and superconducting Josephson devices. This paper presents a new model to describe inhomogeneous current distribution throughout the thickness of superconducting films applying magnetic field by solving the differential equation derived from Maxwell equation and the second London equation. Using this model, it accurately calculates the inductive third-harmonic voltage when the film applying magnetic field with the inductive measurement for Jc. The theoretic curve is consistent with the experimental results about measuring superconducting film, especially when the third-harmonic voltage just exceeds zero. The Jc value of superconducting films determined by the inductive method is also compared with results measured by four-probe transport method. The agreements between inductive method and transport method are very good.
Keywords:  inhomogeneous current      third-harmonic voltage      critical current density      magnetic field  
Received:  03 December 2009      Revised:  21 September 2010      Accepted manuscript online: 
PACS:  74.25.Sv (Critical currents)  
  74.25.Op (Mixed states, critical fields, and surface sheaths)  
Fund: Project supported by the National High Technology Research and Development Program ("863" Program) of China (Grant No. 2006AA03Z213).

Cite this article: 

Zhang Xu(张旭),Wu Zhi-Zhen(吴之珍),Zhou Tie-Ge(周铁戈), He Ming(何明), Zhao Xin-Jie(赵新杰),Yan Shao-Lin(阎少林),and Fang Lan(方兰) A new model analysis of the third harmonic voltage in inductive measurement for critical current density of superconducting films 2011 Chin. Phys. B 20 027401

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