Method for the solution of the nucleation problem in arbitrary mesoscopic superconductors: theory and application.
Method for the solution of the nucleation problem in arbitrary mesoscopic superconductors: theory and application.
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DOI：
10.1103/physreve.86.056709
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发表时间：
2012-11
期刊：
影响因子：
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通讯作者：
P. J. Pereira;V. Moshchalkov;L. Chibotaru
中科院分区：
文献类型：
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作者：
P. J. Pereira;V. Moshchalkov;L. Chibotaru
本文提出了一种计算任意多边形超导形核时凝聚态分布的方法。该方法是基于共形映射的线性金-朗道问题的磁盘的解析解，并使用超导规范的磁位提出较早。作为演示的方法的准确性，我们计算的顺序参数在正多边形的分布，并比较所获得的解决方案与现有的数值结果。作为一个不规则多边形的例子，我们考虑变形的六边形，并证明了它的计算与所提出的方法需要相同的计算工作量的规则。最后，我们将该方法推广到具有任意光滑边界的样本上。利用这一点，我们对实验样本进行了模拟。它们与实验数据完全一致。
We present a method for finding the condensate distribution at the nucleation of superconductivity for arbitrary polygons. The method is based on conformal mapping of the analytical solution of the linearized Ginzburg-Landau problem for the disk and uses the superconducting gauge for the magnetic potential proposed earlier. As a demonstration of the method's accuracy, we calculate the distribution of the order parameter in regular polygons and compare the obtained solutions with available numerical results. As an example of an irregular polygon, we consider a deformed hexagon and prove that its calculation with the proposed method requires the same level of computational efforts as the regular ones. Finally, we extend the method over samples with arbitrary smooth boundaries. With this, we have made simulations for an experimental sample. They have shown perfect agreement with experimental data.