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arXiv 0811.4279cond-mat.supr-con
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用扫描霍尔探针评估YBCO超导体临界电流密度的空间和场依赖性

Assessing the spatial and field dependence of the critical current density in YBCO bulk superconductors by scanning Hall probes

F. Hengstberger, M. Eisterer, M. Zehetmayer, H. W. Weber

摘要:

尽管块体超导体的通量密度图原则上提供了足够的信息来计算超导流的大小和方向,但是毕奥-萨伐尔定律的反演对于厚样品是病态的,因此使得该方法不适合于现有技术的块体超导体。如果从块体中切下薄(< 1 mm)板,则反转被合理地良好地调节,并且可以以足够的空间分辨率计算样品中的临界电流密度的变化。因此,采用了一种新的程序,它利用了问题的对称性,并解决了非迭代方程,假设一个平面的z-独立的电流密度。在某一位置的计算电流密度被发现依赖于磁感应强度。以这种方式,临界电流密度Jc(B)的平均场依赖性也在低场下获得,由于样品的自场,这对于磁化测量是不可访问的。它进一步表明,磁化循环的评价,考虑到自场,结果在一个类似的依赖性,在该实验可访问的字段范围。

英文摘要:

Although the flux density map of a bulk superconductor provides in principle sufficient information for calculating the magnitude and the direction of the supercurrent flow, the inversion of the Biot-Savart law is ill conditioned for thick samples, thus rendering this method unsuitable for state of the art bulk superconductors. If a thin (< 1 mm) slab is cut from the bulk, the inversion is reasonably well conditioned and the variation of the critical current density in the sample can be calculated with adequate spatial resolution. Therefore a novel procedure is employed, which exploits the symmetry of the problem and solves the equations non-iteratively, assuming a planar z-independent current density. The calculated current density at a certain position is found to depend on the magnetic induction. In this way the average field dependence of the critical current density Jc(B) is obtained also at low fields, which is not accessible to magnetisation measurements due to the self-field of the sample. It is further shown that an evaluation of magnetisation loops, taking the self-field into account, results in a similar dependence in the field range accessible to this experiment.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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