Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates

Fuente: arXiv
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Autores principales: Reichhardt, C. J. O., Reichhardt, C.
Formato: Preprint
Publicado: 2023
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author Reichhardt, C. J. O.
Reichhardt, C.
author_facet Reichhardt, C. J. O.
Reichhardt, C.
contents We examine a charge lattice coupled to a one-dimensional asymmetric potential in the presence of an applied magnetic field, which induces gyrotropic effects in the charge motion. This system could be realized for Wigner crystals in nanostructured samples, dusty plasmas, or other classical charge-ordered states where gyrotropic motion and damping can arise. For zero magnetic field, an applied external ac drive can produce a ratchet effect in which the particles move along the easy flow direction of the substrate asymmetry. The zero field ratchet effect can only occur when the ac drive is aligned with the substrate asymmetry direction; however, when a magnetic field is added, the gyrotropic forces generate a Hall effect that leads to a variety of new behaviors, including a transverse ratchet motion that occurs when the ac drive is perpendicular to the substrate asymmetry direction. We show that this system exhibits commensuration effects as well as reversals in the ratchet effect and the Hall angle of the motion. The magnetic field also produces a nonmonotonic ratchet efficiency when the particles become localized at high fields.
format Preprint
id arxiv_https___arxiv_org_abs_2310_07004
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates
Reichhardt, C. J. O.
Reichhardt, C.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Statistical Mechanics
We examine a charge lattice coupled to a one-dimensional asymmetric potential in the presence of an applied magnetic field, which induces gyrotropic effects in the charge motion. This system could be realized for Wigner crystals in nanostructured samples, dusty plasmas, or other classical charge-ordered states where gyrotropic motion and damping can arise. For zero magnetic field, an applied external ac drive can produce a ratchet effect in which the particles move along the easy flow direction of the substrate asymmetry. The zero field ratchet effect can only occur when the ac drive is aligned with the substrate asymmetry direction; however, when a magnetic field is added, the gyrotropic forces generate a Hall effect that leads to a variety of new behaviors, including a transverse ratchet motion that occurs when the ac drive is perpendicular to the substrate asymmetry direction. We show that this system exhibits commensuration effects as well as reversals in the ratchet effect and the Hall angle of the motion. The magnetic field also produces a nonmonotonic ratchet efficiency when the particles become localized at high fields.
title Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Statistical Mechanics
url https://arxiv.org/abs/2310.07004