Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates

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-ord...

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Main Authors: C J O Reichhardt, C Reichhardt
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ad0c85
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author C J O Reichhardt
C Reichhardt
author_facet C J O Reichhardt
C Reichhardt
author_sort C J O Reichhardt
collection DOAJ
description 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.
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spelling doaj.art-b8054330574a48ca86640cf493a2f50d2023-11-23T09:46:10ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111303810.1088/1367-2630/ad0c85Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substratesC J O Reichhardt0https://orcid.org/0000-0002-3487-5089C Reichhardt1https://orcid.org/0000-0002-0193-189XTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory , Los Alamos, NM 87545, United States of AmericaTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory , Los Alamos, NM 87545, United States of AmericaWe 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.https://doi.org/10.1088/1367-2630/ad0c85Wigner crystalratchetnonlinear transport
spellingShingle C J O Reichhardt
C Reichhardt
Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
New Journal of Physics
Wigner crystal
ratchet
nonlinear transport
title Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
title_full Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
title_fullStr Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
title_full_unstemmed Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
title_short Magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
title_sort magnetic field effects and transverse ratchets in charge lattices coupled to asymmetric substrates
topic Wigner crystal
ratchet
nonlinear transport
url https://doi.org/10.1088/1367-2630/ad0c85
work_keys_str_mv AT cjoreichhardt magneticfieldeffectsandtransverseratchetsinchargelatticescoupledtoasymmetricsubstrates
AT creichhardt magneticfieldeffectsandtransverseratchetsinchargelatticescoupledtoasymmetricsubstrates