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arXiv 1602.03752cond-mat.supr-con
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层状超导体过热场各向异性的Ginzburg-Landau理论

Ginzburg-Landau theory of the superheating field anisotropy of layered superconductors

Danilo B. Liarte, Mark K. Transtrum, James P. Sethna

摘要:

研究了材料各向异性对层状超导体过热场的影响。我们提供了一个直观的论点都存在一个过热的领域,其依赖于各向异性,$κ= λ/ ξ$(磁超导愈合长度的比率)大和小。一方面,我们的估计与发表的结果相结合,使用两个间隙模型的MgB ${}_2$表明高各向异性的过热场接近零温度。另一方面,在Ginzburg-Landau单能隙理论中,我们看到过热场仅在晶体各向异性大且Ginzburg-Landau参数$κ$小时才表现出显著的各向异性。然后,我们得出结论,只有小的各向异性的过热场预计典型的非常规超导体附近的临界温度。使用广义形式的Ginzburg-Landau理论,我们做了定量计算的各向异性过热场的问题映射到各向同性的情况下,并提出了相图的各向异性和$κ$,显示I型,II型,或混合的行为(在Ginzburg-Landau理论),和区域,每个渐近解是预期的。我们估计一些不同的材料的各向异性,并讨论这些结果的重要性,射频腔的粒子加速器。

英文摘要:

We investigate the effects of material anisotropy on the superheating field of layered superconductors. We provide an intuitive argument both for the existence of a superheating field, and its dependence on anisotropy, for $κ= λ/ ξ$ (the ratio of magnetic to superconducting healing lengths) both large and small. On the one hand, the combination of our estimates with published results using a two-gap model for MgB${}_2$ suggests high anisotropy of the superheating field near zero temperature. On the other hand, within Ginzburg-Landau theory for a single gap, we see that the superheating field shows significant anisotropy only when the crystal anisotropy is large and the Ginzburg-Landau parameter $κ$ is small. We then conclude that only small anisotropies in the superheating field are expected for typical unconventional superconductors near the critical temperature. Using a generalized form of Ginzburg Landau theory, we do a quantitative calculation for the anisotropic superheating field by mapping the problem to the isotropic case, and present a phase diagram in terms of anisotropy and $κ$, showing type I, type II, or mixed behavior (within Ginzburg-Landau theory), and regions where each asymptotic solution is expected. We estimate anisotropies for a number of different materials, and discuss the importance of these results for radio-frequency cavities for particle accelerators.

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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