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Title: Transverse ac-driven and geometric ratchet effects for vortices in conformal crystal pinning arrays

Abstract

A conformal pinning array is created by taking a conformal transformation of a uniform hexagonal lattice to create a structure in which the sixfold ordering of the original lattice is preserved but which has a spatial gradient in the pinning site density. With a series of conformal arrays it is possible to create asymmetric substrates, and it was previously shown that when an ac drive is applied parallel to the asymmetry direction, a pronounced ratchet effect occurs with a net dc flow of vortices in the same direction as the ac drive. Here, in this article, we show that when the ac drive is applied perpendicular to the substrate asymmetry direction, it is possible to realize a transverse ratchet effect where a net dc flow of vortices is generated perpendicular to the ac drive. The conformal transverse ratchet effect is distinct from previous versions of transverse ratchets in that it occurs due to the generation of non-Gaussian transverse vortex velocity fluctuations by the plastic motion of vortices, so that the system behaves as a noise correlation ratchet. The transverse ratchet effect is much more pronounced in the conformal arrays than in random gradient arrays and is absent in square gradientmore » arrays due the different nature of the vortex flow in each geometry. We show that a series of reversals can occur in the transverse ratchet effect due to changes in the vortex flow across the pinning gradient as a function of vortex filling, pinning strength, and ac amplitude. We also consider the case where a dc drive applied perpendicular to the substrate asymmetry direction generates a net flow of vortices perpendicular to the dc drive, producing what is known as a geometric or drift ratchet that again arises due to non-Gaussian dynamically generated fluctuations. The drift ratchet is more efficient than the ac driven ratchet and also exhibits a series of reversals for varied parameters. Lastly, our results should be general to a wide class of systems undergoing nonequilibrium dynamics on conformal substrates, such as colloidal particles on optical traps.« less

Authors:
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1337094
Alternate Identifier(s):
OSTI ID: 1237784
Report Number(s):
LA-UR-15-29312
Journal ID: ISSN 2469-9950
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 6; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE

Citation Formats

Reichhardt, Charles, and Reichhardt, Cynthia Jane Olsen. Transverse ac-driven and geometric ratchet effects for vortices in conformal crystal pinning arrays. United States: N. p., 2016. Web. https://doi.org/10.1103/PhysRevB.93.064508.
Reichhardt, Charles, & Reichhardt, Cynthia Jane Olsen. Transverse ac-driven and geometric ratchet effects for vortices in conformal crystal pinning arrays. United States. https://doi.org/10.1103/PhysRevB.93.064508
Reichhardt, Charles, and Reichhardt, Cynthia Jane Olsen. Thu . "Transverse ac-driven and geometric ratchet effects for vortices in conformal crystal pinning arrays". United States. https://doi.org/10.1103/PhysRevB.93.064508. https://www.osti.gov/servlets/purl/1337094.
@article{osti_1337094,
title = {Transverse ac-driven and geometric ratchet effects for vortices in conformal crystal pinning arrays},
author = {Reichhardt, Charles and Reichhardt, Cynthia Jane Olsen},
abstractNote = {A conformal pinning array is created by taking a conformal transformation of a uniform hexagonal lattice to create a structure in which the sixfold ordering of the original lattice is preserved but which has a spatial gradient in the pinning site density. With a series of conformal arrays it is possible to create asymmetric substrates, and it was previously shown that when an ac drive is applied parallel to the asymmetry direction, a pronounced ratchet effect occurs with a net dc flow of vortices in the same direction as the ac drive. Here, in this article, we show that when the ac drive is applied perpendicular to the substrate asymmetry direction, it is possible to realize a transverse ratchet effect where a net dc flow of vortices is generated perpendicular to the ac drive. The conformal transverse ratchet effect is distinct from previous versions of transverse ratchets in that it occurs due to the generation of non-Gaussian transverse vortex velocity fluctuations by the plastic motion of vortices, so that the system behaves as a noise correlation ratchet. The transverse ratchet effect is much more pronounced in the conformal arrays than in random gradient arrays and is absent in square gradient arrays due the different nature of the vortex flow in each geometry. We show that a series of reversals can occur in the transverse ratchet effect due to changes in the vortex flow across the pinning gradient as a function of vortex filling, pinning strength, and ac amplitude. We also consider the case where a dc drive applied perpendicular to the substrate asymmetry direction generates a net flow of vortices perpendicular to the dc drive, producing what is known as a geometric or drift ratchet that again arises due to non-Gaussian dynamically generated fluctuations. The drift ratchet is more efficient than the ac driven ratchet and also exhibits a series of reversals for varied parameters. Lastly, our results should be general to a wide class of systems undergoing nonequilibrium dynamics on conformal substrates, such as colloidal particles on optical traps.},
doi = {10.1103/PhysRevB.93.064508},
journal = {Physical Review B},
number = 6,
volume = 93,
place = {United States},
year = {2016},
month = {2}
}

Journal Article:

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Cited by: 6 works
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Rocking Ratchets in Two-Dimensional Josephson Networks: Collective Effects and Current Reversal
journal, January 2007


Rectification of vortex motion in a circular ratchet channel
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Evidence of vortex jamming in Abrikosov vortex flux flow regime
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Rocking ratchet induced by pure magnetic potentials with broken reflection symmetry
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Current reversal in collective ratchets induced by lattice instability
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journal, November 2010


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Strongly Enhanced Pinning of Magnetic Vortices in Type-II Superconductors by Conformal Crystal Arrays
journal, June 2013


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journal, June 2013


Magnetic flux pinning in superconductors with hyperbolic-tessellation arrays of pinning sites
journal, May 2012


Pinning, ordering, and dynamics of vortices in conformal crystal and gradient pinning arrays
journal, September 2014


Reversible ratchet effects for vortices in conformal pinning arrays
journal, May 2015


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Commensurate and incommensurate vortex states in superconductors with periodic pinning arrays
journal, April 1998


Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory
journal, November 2006


Nonequilibrium Dynamic Phase Diagram for Vortex Lattices
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Dynamic Melting of the Vortex Lattice
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Effective Temperature in Driven Vortex Lattices with Random Pinning
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