Meissner-London Susceptibility of Superconducting Right Circular Cylinders in an Axial Magnetic Field
Meissner-London Susceptibility of Superconducting Right Circular Cylinders in an Axial Magnetic Field
复制标题
轴向磁场中超导直圆柱体的迈斯纳-伦敦磁化率
DOI：
--
复制
发表时间：
2021
影响因子：
4.6
通讯作者：
R. Prozorov
中科院分区：
文献类型：
--
作者：
R. Prozorov
非椭球样品的磁化率是磁性和超导实验研究中的一个长期问题。本文给出了直圆柱在轴向磁场中的Meissner-London响应（无Abrikosov涡）的定量描述。三维自适应有限元建模被用来计算总磁矩，m，在很宽的范围内的伦敦穿透深度，λ，样本尺寸比。通过拟合的数值数据，封闭形式的通用磁化率制定只涉及样品尺寸和λ，从而提供了一个配方，用于确定伦敦穿透深度从准确的磁化率测量。使用开发的方法的实验数据分析的详细例子。所得结果可推广到常用的长方体试样。
Magnetic susceptibility of non-ellipsoidal samples is a long-standing problem in experimental studies of magnetism and superconductivity. Here the quantitative description of the Meissner-London response (no Abrikosov vortices) of right circular cylinders in an axial magnetic field is given. The three-dimensional adaptive finite-element modeling was used to calculate the total magnetic moment, m, in a wide range of London penetration depth, lambda, to sample size ratios. By fitting the numerical data, the closed-form universal magnetic susceptibility is formulated involving only sample dimensions and lambda, thus providing a recipe for determining the London penetration depth from the accurate magnetic susceptibility measurements. Detailed examples of the experimental data analysis using the developed approach are given. The results can be extended to the frequently used cuboid-shaped samples.