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

Fuente: arXiv
Enregistré dans:
Détails bibliographiques
Auteurs principaux: Reichhardt, C., Reichhardt, C. J. O.
Format: Preprint
Publié: 2020
Sujets:
Accès en ligne:
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
_version_ 1866913322298769408
author Reichhardt, C.
Reichhardt, C. J. O.
author_facet Reichhardt, C.
Reichhardt, C. J. O.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2011_11802
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field
Reichhardt, C.
Reichhardt, C. J. O.
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
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.
title Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2011.11802