We numerically examine the depinning and sliding dynamics of a Wigner crystal in the presence of quenched disorder and a magnetic field. In the disorder-free limit, the Wigner crystal Hall angle is independent of crystal velocity, but when disorder is present, we find that the Hall angle starts near zero at the depinning threshold and increases linearly with increasing drive before reaching a saturation close to the disorder free value at the highest drives. The drive dependence is the result of a side jump effect produced when the charges move over pinning sites. The magnitude of the side jump is reduced at the higher velocities. The drive dependent Hall angle is robust for a wide range of disorder parameters and should be a generic feature of classical charges driven in the presence of quenched disorder and a magnetic field.

中文翻译：

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磁场中滑动威格纳晶体的霍尔角的驱动依赖性

我们在淬火无序和磁场的存在下，数值研究了威格纳晶体的脱钉和滑动动力学。在无障碍极限内，维格纳晶体的霍尔角与晶体速度无关，但是当存在紊乱时，我们发现霍尔角在固定销阈值处开始接近零，并随着驱动力的增加而线性增加，直到达到接近饱和的饱和度。无障碍价值最高的驱动器。驱动相关性是电荷在钉扎位置上移动时产生的侧跳效应的结果。在较高的速度下，侧跳的幅度会减小。与驱动有关的霍尔角对于广泛的无序参数都具有鲁棒性，并且应该是在存在失调无序和磁场的情况下驱动的经典电荷的一般特征。