论文标题

驱动的wigner晶体的非线性动力学,雪崩和噪声

Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals

论文作者

Reichhardt, C., Reichhardt, C. J. O.

论文摘要

我们认为Wigner晶体与随机疾病相互作用的动力动力学。使用数值模拟,我们发现各种各样的传输现象是电荷密度,驱动和固定强度的函数。对于虚弱的固定,系统会形成无缺陷的晶体,该晶体会弹性地脱落。当固定固定更强时,将出现固定的玻璃相,将depins到丝状流状态下,在较高的驱动器上转变为无序的流动阶段,最后形成移动的近晶型。在丝状流阶段,传导曲线可以显示开关动力学以及负差分电导率,其中开关事件会导致某些流动通道被阻断。由于运动的一维性质,丝状流动状态中的速度噪声表现出狭窄的带状特性,而移动的近晶型具有狭窄的带速度噪声,并具有垫板频率。在无序的流量状态下,噪声功率达到峰值,噪声具有$ 1/f $的字符。我们的运输结果与据信晶体状态发生的系统中最近的实验运输研究一致。在传导阈值之下,我们发现,当局部重新排列从一个固定配置到另一种固定构型的局部电荷重排时,出现具有功率定律尺寸分布的雪崩。

We consider the driven dynamics of Wigner crystals interacting with random disorder. Using numerical simulations, we find a rich variety of transport phenomena as a function of charge density, drive, and pinning strength. For weak pinning, the system forms a defect free crystal that depins elastically. When the pinning is stronger, a pinned glass phase appears that depins into a filamentary flow state, transitions at higher drives into a disordered flow phase, and finally forms a moving smectic. Within the filamentary flow phase, the conduction curves can show switching dynamics as well as negative differential conductivity in which switching events cause some flow channels to be blocked. The velocity noise in the filamentary flow regime exhibits narrow band characteristics due to the one-dimensional nature of the motion, while the moving smectic has narrow band velocity noise with a washboard frequency. In the disordered flow state, the noise power reaches a peak value and the noise has a $1/f$ character. Our transport results are consistent with recent experimental transport studies in systems where Wigner crystal states are believed to be occurring. Below the conduction threshold, we find that avalanches with a power law size distribution appear when there are sudden local rearrangements of charges from one pinned configuration to another.

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