From vortex molecules to the Abrikosov lattice in thin mesoscopic superconducting disks
From vortex molecules to the Abrikosov lattice in thin mesoscopic superconducting disks
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DOI：
10.1103/physrevb.70.144523
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发表时间：
2004-10-01
影响因子：
3.7
通讯作者：
Peeters, FM
中科院分区：
文献类型：
--
作者：
Cabral, LRE;Baelus, BJ;Peeters, FM
研究了大超导薄圆盘中的稳定涡旋态（为了数值计算的目的，我们考虑半径为R= 50 xi的圆盘）。用两种不同的方法得到了包含700多个涡的涡系：非线性Ginzburg-Landau（GL）理论和伦敦近似。为了更好地与GL理论的结果一致，我们推广了伦敦理论，包括空间变化的顺序参数以下克莱姆的anananonymous。我们发现在伦敦极限下计算的构型在Ginzburg-Landau理论中也是稳定的，直到近似230个涡。对于较大的涡量值（典型地，L大于或近似于100），涡在盘的中心以Abrikosov晶格排列，盘的中心被至少两个圆形涡壳包围。一个Voronoi结构是用来识别缺陷存在于基态涡配置。这样的缺陷集群的边缘附近的磁盘，但对于大L也发现晶粒边界延伸到磁盘的中心。
Stable vortex states are studied in large superconducting thin disks (for numerical purposes we considered disks with radius R=50xi). Configurations containing more than 700 vortices were obtained using two different approaches: the nonlinear Ginzburg-Landau (GL) theory and the London approximation. To obtain better agreement with results from the GL theory we generalized the London theory by including the spatial variation of the order parameter following Clem's ansatz. We find that configurations calculated in the London limit are also stable within the Ginzburg-Landau theory for up to similar to230 vortices. For large values of the vorticity (typically, Lgreater than or similar to100), the vortices are arranged in an Abrikosov lattice in the center of the disk, which is surrounded by at least two circular shells of vortices. A Voronoi construction is used to identify the defects present in the ground state vortex configurations. Such defects cluster near the edge of the disk, but for large L also grain boundaries are found which extend up to the center of the disk.