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arXiv 1012.5049hep-thgr-qc
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大Ginzburg-Landau参数下的Nielsen-Olesen涡

Nielsen-Olesen vortices for large Ginzburg-Landau parameter

Jurgen Burzlaff, Francisco Navarro-Lerida

摘要:

本文用解析和数值方法研究了在大Ginzburg-Landau参数$λ$下的Nielsen-Olesen涡旋,在Ginzburg-Landau理论中称为第二类超导体的Abrikosov涡旋。我们证明了它们的能量等于$(πn^2 /2)\logλ$到首阶,其中$n$是涡旋的缠绕数,并发现规范场的极限可以用修正的贝塞尔函数$K_1$表示.给出了解的渐近展开式的主导项,并分析了其对能量的不同贡献。

英文摘要:

Using analytic and numerical techniques Nielsen-Olesen vortices, which in the context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II superconductors, are studied for large Ginzburg-Landau parameter $λ$. We show that their energy is equal to $(πn^2 /2)\logλ$ to leading order, where $n$ is the winding number of the vortex, and find that the limit of the gauge field can be expressed in terms of the modified Bessel function $K_1$. The leading terms of the asymptotic expansion of the solution are given, and the different contributions to the energy are analyzed.

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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