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Orientational ordering, buckling, and dynamic transitions for vortices interacting with a periodic quasi-one-dimensional substrate

机译：涡与周期性准一维基体相互作用的方向有序，屈曲和动态过渡

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摘要

We examine the statics and dynamics of vortices in the presence of a periodic quasi-one-dimensional substrate, focusing on the limit where the vortex lattice constant is smaller than the substrate lattice period. As a function of the substrate strength and filling factor, within the pinned state, we observe a series of order-disorder transitions associated with buckling phenomena in which the number of vortex rows that fit between neighboring substrate maxima increases. These transitions coincide with steps in the depinning threshold, jumps in the density of topological defects, and changes in the structure factor. At the buckling transition, the vortices are disordered, while between the buckling transitions the vortices form a variety of crystalline and partially ordered states. In the weak substrate limit, the buckling transitions are absent and the vortices form an ordered hexagonal lattice that undergoes changes in its orientation with respect to the substrate as a function of vortex density. At intermediate substrate strength, certain ordered states appear that are correlated with peaks in the depinning force. Under an applied drive, the system exhibits a rich variety of distinct dynamical phases, including plastic flow, a density-modulated moving crystal, and moving floating solid phases. We also find a dynamic smectic-to-smectic transition in which the smectic ordering changes from being aligned with the substrate to being aligned with the external drive. The different dynamical phases can be characterized using velocity histograms and the structure factor. We discuss how these results are related to recent experiments on vortex ordering in thin films with periodic thickness modulations. Our results should also be relevant for other types of systems such as ions, colloids, or Wigner crystals interacting with periodic quasi-one-dimensional substrates.
机译：我们在周期性准一维基体存在的情况下检查涡流的静态和动态，重点研究涡旋晶格常数小于基体晶格周期的极限。在固定状态下，作为基体强度和填充因子的函数，我们观察到一系列与屈曲现象相关的有序-无序转变，在该现象中，适合于相邻基体最大值之间的涡流行数增加。这些过渡与固定阈值中的步骤，拓扑缺陷密度的跳跃以及结构因子的变化相一致。在屈曲过渡处，涡旋是无序的，而在屈曲过渡之间，旋涡形成各种晶态和部分有序状态。在弱基板极限中，不存在屈曲过渡，并且涡流形成有序的六角形晶格，该六角形晶格相对于基板的取向随着涡旋密度的变化而发生变化。在中等基材强度下，出现某些有序状态，这些状态与固定力的峰值相关。在应用的驱动下，该系统展现出各种不同的动态相，包括塑性流动，密度调制的移动晶体和移动的浮动固相。我们还发现了一种动态的近晶片到近晶片的过渡，其中近晶片的排列顺序从与基板对齐变为与外部驱动器对齐。可以使用速度直方图和结构因子来表征不同的动力学阶段。我们讨论这些结果如何与具有周期性厚度调制的薄膜中的涡旋有序化的最新实验相关。我们的结果还应该与其他类型的系统有关，例如与周期性准一维底物相互作用的离子，胶体或Wigner晶体。

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  • 来源
    《Physical review》 |2016年第1期|014504.1-014504.15|共15页
  • 作者

    Q. Le Thien; D. McDermott; C. J. Olson Reichhardt; C. Reichhardt;

  • 作者单位

    Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA,Department of Physics, Wabash College, Crawfordsville, Indiana 47933, USA;

    Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA,Department of Physics, Wabash College, Crawfordsville, Indiana 47933, USA;

    Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA;

    Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA;

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