Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field

Abstract

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 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.

6 pages, 4 postscript figures

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Cited by in corpus (7)

• Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals
• Dynamics and Nonmonotonic Drag for Individually Driven Skyrmions
• Magnus Induced Diode Effect for Skyrmions in Channels with Periodic Potentials
• Collective Dynamics and Defect Generation for Wigner Crystal Ratchets
• Noise and Thermal Depinning of Wigner Crystals
• Melting, Reentrant Ordering and Peak Effect for Wigner Crystals with Quenched and Thermal Disorder
• Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates