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arXiv 2607.29608cond-mat.supr-conmath-phmath.MP

极端II型超导体中的非线性迈斯纳态、涡旋片与层状结构

Nonlinear Meissner States, Vortex Sheets, and Laminar Structures in Extreme Type-II Superconductors

Eugene B. Kolomeisky

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中文总结 AI 辅助

研究极端II型超导体的非线性速度理论,发现其可精确求解的一维分支解含多种结构,涡旋片可视为密排阿布里科索夫涡旋行的粗粒化极限,周期性解对应粗粒化矩形涡旋晶格。

中文摘要 AI 辅助

新近推导的极端II型超导体非线性速度理论被证明存在一个可精确求解的一维分支,其解包含具有普适尾迹的非线性迈斯纳态、涡旋片和周期性层状结构。热力学临界场源于等价于正常-超导边界的边缘迈斯纳分布,可视为半孤子;涡旋片是速度场不连续、磁场连续局域且中心超导密度为零的孤子,可解释为密排阿布里科索夫涡旋行的粗粒化极限;周期性解描述的层状态可解释为粗粒化矩形涡旋晶格。

英文摘要

A recently derived nonlinear velocity theory of extreme type-II superconductors is shown to possess an exactly solvable one-dimensional sector. Its solutions include nonlinear Meissner states exhibiting universal tails, vortex sheets, and periodic laminar structures. The thermodynamic critical field emerges from a marginal Meissner profile equivalent to the normal-superconducting boundary and may be viewed as a half-soliton. The vortex sheet is a soliton characterized by a discontinuity of the velocity field, a continuous and localized magnetic field and vanishing superconducting density at its center, and may be interpreted as the coarse-grained limit of a dense row of Abrikosov vortices. Periodic solutions describe laminar states that may be interpreted as coarse-grained rectangular vortex lattices.

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