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arXiv 2504.09321cond-mat.supr-con
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利用振荡磁场定向驱动涡旋线

Directional driving of vortex lines with oscillating magnetic field

A. E. Koshelev

AI总结:

本研究通过数值模拟探究了带棘轮厚度轮廓的超导薄膜中,平行振荡磁场驱动下的涡旋线动力学,发现多种动力学区域及速度平台等特性,为超导器件磁通控制提供新思路。

摘要:

利用振荡磁场驱动涡旋线的可能性在诸多应用中具有实用价值,例如可用于清除超导器件非接触元件中不希望存在的俘获磁通。我们研究了具有棘轮厚度轮廓的超导薄膜中,由平行于薄膜施加的振荡磁场驱动的涡旋线动力学行为。我们对被建模为长度可变的弹性弦的单条磁通线的动力学进行了数值模拟。我们探究了振荡磁场不同频率和振幅下的行为,发现了多种动力学区域。在中等频率下,平均速度仅在特定振幅范围内为有限值。一个显著特征是存在延伸的速度平台,这些平面对应于涡旋线在时间周期$T$的整数倍内移动空间周期$w$的整数倍的区域。向这些平台态的转变相当陡峭,尤其是在低频下。速度为$w/T$的平台在中频时占主导地位,但在高频时消失。有限速度的起始磁场振幅与频率呈非单调依赖关系,并在某一频率值处经过最小值。在低频下,速度超过$w/T$并随振幅逐渐增大。这些发现为图案化超导薄膜中由振荡磁场驱动的涡旋线的动力学行为提供了宝贵见解,为超导器件中的磁通控制提供了潜在途径。

英文摘要:

The possibility of driving vortex lines with an oscillating magnetic field could be useful in many applications. For example, it can be used for the removal of undesired trapped flux from contactless elements of superconducting devices. We investigate the dynamics of vortex lines in a superconducting film with a ratchet thickness profile driven by an oscillating magnetic field applied parallel to the film. We numerically simulate the dynamics of a single flux line modeled as an elastic string with a variable length. We explore the behavior for different frequencies and amplitudes of the oscillating magnetic field and find several dynamic regimes. For moderate frequencies, the average velocity is finite only within specific amplitude ranges. A notable feature is the presence of extended velocity plateaus, which correspond to regimes when the line moves by integer multiples of the spatial period $w$ during integer multiples of the time period $T$. The transitions to these plateau states are rather steep, especially at low frequencies. The plateau at velocity $w/T$ dominates at intermediate frequencies but vanishes at high frequencies. The onset field amplitude of finite velocity nonmonotonically depends on the frequency and passes through a minimum at a certain frequency value. At low frequencies, the velocity exceeds $w/T$ and progressively increases with the amplitude. These findings provide valuable insights into the dynamic behavior of vortex lines driven by oscillating magnetic field in patterned superconducting films, offering potential pathways for controlling the magnetic flux in superconducting devices.

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