Reversible ratchet effects for vortices in conformal pinning arrays
Abstract
A conformal transformation of a uniform triangular pinning array produces a structure called a conformal crystal which preserves the sixfold ordering of the original lattice but contains a gradient in the pinning density. Here we use numerical simulations to show that vortices in type-II superconductors driven with an ac drive over gradient pinning arrays produce the most pronounced ratchet effect over a wide range of parameters for a conformal array, while square gradient or random gradient arrays with equivalent pinning densities give reduced ratchet effects. In the conformal array, the larger spacing of the pinning sites in the direction transverse to the ac drive permits easy funneling of interstitial vortices for one driving direction, producing the enhanced ratchet effect. In the square array, the transverse spacing between pinning sites is uniform, giving no asymmetry in the funneling of the vortices as the driving direction switches, while in the random array, there are numerous easy-flow channels present for either direction of drive. We find multiple ratchet reversals in the conformal arrays as a function of vortex density and ac amplitude, and correlate the features with a reversal in the vortex ordering, which is greater for motion in the ratchet direction. Inmore »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1329592
- Alternate Identifier(s):
- OSTI ID: 1179690
- Report Number(s):
- LA-UR-15-22325
Journal ID: ISSN 1098-0121; PRBMDO
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 18; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; material science
Citation Formats
Reichhardt, Charles, Ray, Dipanjan, and Reichhardt, Cynthia Jane Olson. Reversible ratchet effects for vortices in conformal pinning arrays. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.91.184502.
Reichhardt, Charles, Ray, Dipanjan, & Reichhardt, Cynthia Jane Olson. Reversible ratchet effects for vortices in conformal pinning arrays. United States. https://doi.org/10.1103/PhysRevB.91.184502
Reichhardt, Charles, Ray, Dipanjan, and Reichhardt, Cynthia Jane Olson. Mon .
"Reversible ratchet effects for vortices in conformal pinning arrays". United States. https://doi.org/10.1103/PhysRevB.91.184502. https://www.osti.gov/servlets/purl/1329592.
@article{osti_1329592,
title = {Reversible ratchet effects for vortices in conformal pinning arrays},
author = {Reichhardt, Charles and Ray, Dipanjan and Reichhardt, Cynthia Jane Olson},
abstractNote = {A conformal transformation of a uniform triangular pinning array produces a structure called a conformal crystal which preserves the sixfold ordering of the original lattice but contains a gradient in the pinning density. Here we use numerical simulations to show that vortices in type-II superconductors driven with an ac drive over gradient pinning arrays produce the most pronounced ratchet effect over a wide range of parameters for a conformal array, while square gradient or random gradient arrays with equivalent pinning densities give reduced ratchet effects. In the conformal array, the larger spacing of the pinning sites in the direction transverse to the ac drive permits easy funneling of interstitial vortices for one driving direction, producing the enhanced ratchet effect. In the square array, the transverse spacing between pinning sites is uniform, giving no asymmetry in the funneling of the vortices as the driving direction switches, while in the random array, there are numerous easy-flow channels present for either direction of drive. We find multiple ratchet reversals in the conformal arrays as a function of vortex density and ac amplitude, and correlate the features with a reversal in the vortex ordering, which is greater for motion in the ratchet direction. In conclusion, the enhanced conformal pinning ratchet effect can also be realized for colloidal particles moving over a conformal array, indicating the general usefulness of conformal structures for controlling the motion of particles.},
doi = {10.1103/PhysRevB.91.184502},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 18,
volume = 91,
place = {United States},
year = {Mon May 04 00:00:00 EDT 2015},
month = {Mon May 04 00:00:00 EDT 2015}
}
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