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首页> 外文期刊>Physical review >Sliding Abrikosov vortex lattice in the presence of a regular array of columnar pinning centers: ac conductivity and criticality near the transition to a pinned state
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Sliding Abrikosov vortex lattice in the presence of a regular array of columnar pinning centers: ac conductivity and criticality near the transition to a pinned state

机译：在存在规则排列的圆柱状钉扎中心的情况下滑动Abrikosov涡旋晶格：在过渡到钉扎状态时，交流电导率和临界度

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摘要

The dynamics of the flux lattice in the mixed state of strongly type-II superconductor near the upper critical field H_(c2)(T) subjected to ac field and interacting with a periodic array of short-range pinning centers (nano-solid) is considered. The superconductor in a magnetic field in the absence of thermal fluctuations on the mesoscopic scale is described by the time-dependent Ginzburg-Landau equations. An exact expression for the ac resistivity in the case of a δ-function model for the pinning centers in which the nanosolid is commensurate with the Abrikosov lattice (vortices outnumber pinning centers) is obtained. It is found that below a certain critical pinning strength u_c and sufficiently low frequencies there exists a sliding Abrikosov lattice, which moves nearly uniformly despite interactions with the pinning centers. At small frequencies the conductivity diverges as (u-u_c)~(-1), whereas the ac conductivity on the depinning line diverges as iω~(-1). This sliding lattice behavior, which does not exists in the single vortex-pinning regime, becomes possible due to strong interactions between vortices when they outnumber the columnar defects. Physically it is caused by "liberation" of the temporarily trapped vortices by their freely moving neighbors.
机译：强II型超导体在混合态下的高临界场H_（c2）（T）在交流场下并与短程钉扎中心（纳米固体）周期阵列相互作用时的磁通动力学为考虑过的。介观尺度上不存在热波动的磁场中的超导体由时变的Ginzburg-Landau方程描述。在钉子中心具有δ函数模型的情况下，获得了交流电阻率的精确表达式，在该函数中，纳米固体与Abrikosov晶格相当（涡旋数量超过钉子中心）。发现在一定的临界钉扎强度u_c和足够低的频率以下，存在滑动的Abrikosov晶格，尽管与钉扎中心相互作用，该晶格几乎均匀地移动。在小频率下，电导率发散为（u-u_c）〜（-1），而去固定线上的交流电导率发散为iω〜（-1）。由于旋涡之间的相互作用强于柱状缺陷，因此在单个旋涡固定机制中不存在的这种滑动晶格行为成为可能。从物理上讲，这是由其自由移动的邻居“释放”临时捕获的涡流引起的。

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