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超导体中射频磁涡旋的含时金兹堡-朗道理论:空间非均匀磁场中的涡旋半环

Time-dependent Ginzburg-Landau treatment of rf magnetic vortices in superconductors: Vortex semiloops in a spatially nonuniform magnetic field.

作者信息

Oripov Bakhrom, Anlage Steven M

机构信息

Quantum Materials Center and Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.

出版信息

Phys Rev E. 2020 Mar;101(3-1):033306. doi: 10.1103/PhysRevE.101.033306.

DOI:10.1103/PhysRevE.101.033306
PMID:32289922
Abstract

We apply time-dependent Ginzburg-Landau (TDGL) numerical simulations to study the finite frequency electrodynamics of superconductors subjected to an intense rf magnetic field. Much recent TDGL work has focused on spatially uniform external magnetic fields and largely ignores the Meissner state screening response of the superconductor. In this paper, we solve the TGDL equations for a spatially nonuniform magnetic field created by a point magnetic dipole in the vicinity of a semi-infinite superconductor. A two-domain simulation is performed to accurately capture the effect of the inhomogeneous applied fields and the resulting screening currents. The creation and dynamics of vortex semiloops penetrating deep into the superconductor domain are observed and studied, and the resulting third-harmonic nonlinear response of the sample is calculated. The effect of pointlike defects on vortex semi-loop behavior is also studied. This simulation method will assist our understanding of the limits of superconducting response to intense rf magnetic fields.

摘要

我们应用含时金兹堡 - 朗道(TDGL)数值模拟来研究处于强射频磁场中的超导体的有限频率电动力学。近期许多TDGL工作聚焦于空间均匀的外磁场,很大程度上忽略了超导体的迈斯纳态屏蔽响应。在本文中,我们求解由半无限超导体附近的点磁偶极子产生的空间非均匀磁场的TGDL方程。进行双域模拟以准确捕捉非均匀外加场的影响以及由此产生的屏蔽电流。观察并研究了深入穿透超导体区域的涡旋半环的产生和动力学,并计算了样品由此产生的三次谐波非线性响应。还研究了点状缺陷对涡旋半环行为的影响。这种模拟方法将有助于我们理解超导对强射频磁场响应的极限。

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