Elastic energy of the vortex state in type II superconductors. I. High inductions
Elastic energy of the vortex state in type II superconductors. I. High inductions
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DOI：
10.1007/bf00654876
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发表时间：
1977-03
影响因子：
2
通讯作者：
E. Brandt
中科院分区：
文献类型：
--
作者：
E. Brandt
本文用线性化的Ginzburg-Landau（GL）理论计算了第二类超导体中磁通线晶格（FLL）的弹性性质。它们似乎是强非局部的，即，如果应变场在距离λ/（1−B/Hc 2）1/2 <$d（λ为穿透深度，dis为FL距离）上变化，则均匀变形的弹性模量11和c44不适用。对于较小的应变波长，c11和c44分别小（1-B/Hc 2）2/2κ 2和（1-B/Hc 2）/ 2κ2。变形FLL的序参数和局部场表现出预期的空间“频率调制”，但也有明显的“振幅调制”，其调制程度随应变波长增加。给出了避免GL理论线性化的进一步计算结果。
The elastic properties of the flux line lattice (FLL) in type II superconductors are calculated from the linearized Ginzburg-Landau (GL) theory for large inductionsB≈Hc2. They appear to be strongly nonlocal, i.e., the elastic modulic11andc44for homogeneous deformations do not apply if the strain field varies over distances λ/(1−B/Hc2)1/2≫d(λ is the penetration depth,dis the FL distance). For smaller strain wavelength,c11andc44are smaller by factors (1−B/Hc2)2/2κ2and (1−B/Hc2)/ 2κ2, respectively. The order parameter and local field of a deformed FLL exhibit the expected spatial “frequency modulation,” but also a pronounced “amplitude modulation” whose degree of modulation increases with the strain wavelength. The results of further calculations avoiding the linearization of the GL theory are given.