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 »
- Authors:
-
- 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:
- Journal Article: 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. doi: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. 2016.
"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},
url = {https://www.osti.gov/biblio/1337094},
journal = {Physical Review B},
issn = {2469-9950},
number = 6,
volume = 93,
place = {United States},
year = {Thu Feb 11 00:00:00 EST 2016},
month = {Thu Feb 11 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Rectification of Swimming Bacteria and Self-Driven Particle Systems by Arrays of Asymmetric Barriers
journal, July 2008
- Wan, M. B.; Olson Reichhardt, C. J.; Nussinov, Z.
- Physical Review Letters, Vol. 101, Issue 1
Why molecules move along a temperature gradient
journal, December 2006
- Duhr, S.; Braun, D.
- Proceedings of the National Academy of Sciences, Vol. 103, Issue 52
Microfabricated Sieve for the Continuous Sorting of Macromolecules
journal, February 1998
- Duke, T. A. J.; Austin, R. H.
- Physical Review Letters, Vol. 80, Issue 7
Composite vortex ordering in superconducting films with arrays of blind holes
journal, January 2009
- Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M.
- New Journal of Physics, Vol. 11, Issue 1
Brownian Ratchets: Molecular Separations in Lipid Bilayers Supported on Patterned Arrays
journal, August 1999
- van Oudenaarden, A.
- Science, Vol. 285, Issue 5430
Flux Flow Noise and Dynamical Transitions in a Flux Line Lattice
journal, April 1995
- Marley, A. C.; Higgins, M. J.; Bhattacharya, S.
- Physical Review Letters, Vol. 74, Issue 15
Special pinning phenomena in arrays of defects with gradient spatial distributions on niobium film
journal, May 2015
- Wu, Tian-Chiuan; Horng, Lance; Wu, Jong-Ching
- Journal of Applied Physics, Vol. 117, Issue 17
Highly effective superconducting vortex pinning in conformal crystals
journal, June 2013
- Guénon, S.; Rosen, Y. J.; Basaran, Ali C.
- Applied Physics Letters, Vol. 102, Issue 25
Rocking ratchets in nanostructured superconducting–magnetic hybrids
journal, May 2009
- Perez de Lara, D.; Dinis, L.; Gonzalez, E. M.
- Journal of Physics: Condensed Matter, Vol. 21, Issue 25
Lattice effects and current reversal in superconducting ratchets
journal, October 2007
- Dinis, L.; González, E. M.; Anguita, J. V.
- New Journal of Physics, Vol. 9, Issue 10
Enhanced pinning in superconducting thin films with graded pinning landscapes
journal, May 2013
- Motta, M.; Colauto, F.; Ortiz, W. A.
- Applied Physics Letters, Vol. 102, Issue 21
Conformal crystal
journal, September 1993
- Rothen, F.; Pieranski, Piotr; Rivier, N.
- European Journal of Physics, Vol. 14, Issue 5
Transverse ratchet effect and superconducting vortices: simulation and experiment
journal, July 2009
- Dinis, L.; Perez de Lara, D.; Gonzalez, E. M.
- New Journal of Physics, Vol. 11, Issue 7
Lateral Separation of Macromolecules and Polyelectrolytes in Microlithographic Arrays
journal, February 1998
- Ertaş, Deniz
- Physical Review Letters, Vol. 80, Issue 7
Transverse rectification in superconducting thin films with arrays of asymmetric defects
journal, August 2007
- Gonzalez, E. M.; Nunez, N. O.; Anguita, J. V.
- Applied Physics Letters, Vol. 91, Issue 6
Controlled multiple reversals of a ratchet effect
journal, March 2006
- de Souza Silva, Clécio C.; Van de Vondel, Joris; Morelle, Mathieu
- Nature, Vol. 440, Issue 7084
Dynamic Melting of the Vortex Lattice
journal, December 1994
- Koshelev, A. E.; Vinokur, V. M.
- Physical Review Letters, Vol. 73, Issue 26
Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli
journal, December 2013
- Shklovskij, Valerij A.; Sosedkin, Vladimir V.; Dobrovolskiy, Oleksandr V.
- Journal of Physics: Condensed Matter, Vol. 26, Issue 2
Nonequilibrium fluctuation-induced transport
journal, May 1994
- Doering, Charles R.; Horsthemke, Werner; Riordan, Jason
- Physical Review Letters, Vol. 72, Issue 19
Separating particles according to their physical properties: Transverse drift of underdamped and overdamped interacting particles diffusing through two-dimensional ratchets
journal, June 2005
- Savel’ev, Sergey; Misko, Vyacheslav; Marchesoni, Fabio
- Physical Review B, Vol. 71, Issue 21
Separation quality of a geometric ratchet
journal, April 2002
- Keller, C.; Marquardt, Florian; Bruder, C.
- Physical Review E, Vol. 65, Issue 4
Separation of suspended particles in microfluidic systems by directional locking in periodic fields
journal, June 2009
- Herrmann, John; Karweit, Michael; Drazer, German
- Physical Review E, Vol. 79, Issue 6
Nonequilibrium Dynamic Phase Diagram for Vortex Lattices
journal, October 1998
- Olson, C. J.; Reichhardt, C.; Nori, Franco
- Physical Review Letters, Vol. 81, Issue 17
Archimedean-like tiling on decagonal quasicrystalline surfaces
journal, July 2008
- Mikhael, Jules; Roth, Johannes; Helden, Laurent
- Nature, Vol. 454, Issue 7203
Rectification and flux reversals for vortices interacting with triangular traps
journal, November 2005
- Olson Reichhardt, C. J.; Reichhardt, C.
- Physica C: Superconductivity, Vol. 432, Issue 3-4
Vortex ratchet effect in a niobium film with spacing-graded density of pinning sites
journal, August 2007
- Wu, T. C.; Horng, Lance; Wu, J. C.
- Journal of Applied Physics, Vol. 102, Issue 3
Reducing vortex density in superconductors using the ‘ratchet effect’
journal, July 1999
- Lee, C. -S.; Jankó, B.; Derényi, I.
- Nature, Vol. 400, Issue 6742
Comment on “Transverse rectification in superconducting thin films with arrays of asymmetric defects” [Appl. Phys. Lett. 91, 062505 (2007)]
journal, April 2008
- Silhanek, A. V.; Van de Vondel, J.; Moshchalkov, V. V.
- Applied Physics Letters, Vol. 92, Issue 17
Geometrically controlled ratchet effect with collective vortex motion
journal, July 2015
- Rouco, V.; Palau, A.; Monton, C.
- New Journal of Physics, Vol. 17, Issue 7
A Superconducting Reversible Rectifier That Controls the Motion of Magnetic Flux Quanta
journal, November 2003
- Villegas, J. E.
- Science, Vol. 302, Issue 5648
Rectified vortex motion in an Nb film with a spacing-graded array of holes
journal, February 2010
- Wu, T. C.; Cao, R.; Yang, T. J.
- Solid State Communications, Vol. 150, Issue 5-6
Transverse rectification of disorder-induced fluctuations in a driven system
journal, January 2007
- Kolton, Alejandro B.
- Physical Review B, Vol. 75, Issue 2
Brownian motors: noisy transport far from equilibrium
journal, April 2002
- Reimann, Peter
- Physics Reports, Vol. 361, Issue 2-4
Artificial Brownian motors: Controlling transport on the nanoscale
journal, March 2009
- Hänggi, Peter; Marchesoni, Fabio
- Reviews of Modern Physics, Vol. 81, Issue 1
Forced thermal ratchets
journal, September 1993
- Magnasco, Marcelo O.
- Physical Review Letters, Vol. 71, Issue 10
A Wall of Funnels Concentrates Swimming Bacteria
journal, September 2007
- Galajda, P.; Keymer, J.; Chaikin, P.
- Journal of Bacteriology, Vol. 189, Issue 23
Superconducting Fluxon Pumps and Lenses
journal, December 1999
- Wambaugh, J. F.; Reichhardt, C.; Olson, C. J.
- Physical Review Letters, Vol. 83, Issue 24
Collective Interaction-Driven Ratchet for Transporting Flux Quanta
journal, October 2001
- Olson, C. J.; Reichhardt, C.; Jankó, B.
- Physical Review Letters, Vol. 87, Issue 17
Guidance of vortices and the vortex ratchet effect in high- superconducting thin films obtained by arrangement of antidots
journal, May 2004
- Wördenweber, R.; Dymashevski, P.; Misko, V. R.
- Physical Review B, Vol. 69, Issue 18
Vortex-Rectification Effects in Films with Periodic Asymmetric Pinning
journal, February 2005
- Van de Vondel, J.; de Souza Silva, C. C.; Zhu, B. Y.
- Physical Review Letters, Vol. 94, Issue 5
Reversible vortex ratchet effects and ordering in superconductors with simple asymmetric potential arrays
journal, February 2007
- Lu, Qiming; Reichhardt, C. J. Olson; Reichhardt, C.
- Physical Review B, Vol. 75, Issue 5
Asymmetric weak-pinning superconducting channels: Vortex ratchets
journal, December 2007
- Yu, K.; Heitmann, T. W.; Song, C.
- Physical Review B, Vol. 76, Issue 22
Nanostructured Superconductors With Asymmetric Pinning Potentials: Vortex Ratchets
journal, October 2009
- Plourde, B. L. T.
- IEEE Transactions on Applied Superconductivity, Vol. 19, Issue 5
High-frequency vortex ratchet effect in a superconducting film with a nanoengineered array of asymmetric pinning sites
journal, May 2010
- Jin, B. B.; Zhu, B. Y.; Wördenweber, R.
- Physical Review B, Vol. 81, Issue 17
Frequency-dependent ratchet effect in superconducting films with a tilted washboard pinning potential
journal, August 2011
- Shklovskij, Valerij A.; Dobrovolskiy, Oleksandr V.
- Physical Review B, Vol. 84, Issue 5
Guided vortex motion in YBa Cu O thin films with collective ratchet pinning potentials
journal, January 2012
- Palau, A.; Monton, C.; Rouco, V.
- Physical Review B, Vol. 85, Issue 1
Rocking Ratchets in Two-Dimensional Josephson Networks: Collective Effects and Current Reversal
journal, January 2007
- Marconi, Verónica I.
- Physical Review Letters, Vol. 98, Issue 4
Rectification of vortex motion in a circular ratchet channel
journal, October 2011
- Lin, N. S.; Heitmann, T. W.; Yu, K.
- Physical Review B, Vol. 84, Issue 14
Evidence of vortex jamming in Abrikosov vortex flux flow regime
journal, August 2012
- Karapetrov, G.; Yefremenko, V.; Mihajlović, G.
- Physical Review B, Vol. 86, Issue 5
Rocking ratchet induced by pure magnetic potentials with broken reflection symmetry
journal, December 2009
- Perez de Lara, D.; Castaño, F. J.; Ng, B. G.
- Physical Review B, Vol. 80, Issue 22
Current reversal in collective ratchets induced by lattice instability
journal, December 2007
- Dinis, L.; González, E. M.; Anguita, J. V.
- Physical Review B, Vol. 76, Issue 21
Vortex ratchet reversal at fractional matching fields in kagomélike array with symmetric pinning centers
journal, November 2010
- Perez de Lara, D.; Alija, A.; Gonzalez, E. M.
- Physical Review B, Vol. 82, Issue 17
Vortex ratchet reversal: Role of interstitial vortices
journal, May 2011
- Perez de Lara, D.; Erekhinsky, M.; Gonzalez, E. M.
- Physical Review B, Vol. 83, Issue 17
Vortex Core Deformation and Stepper-Motor Ratchet Behavior in a Superconducting Aluminum Film Containing an Array of Holes
journal, March 2011
- Van de Vondel, J.; Gladilin, V. N.; Silhanek, A. V.
- Physical Review Letters, Vol. 106, Issue 13
Origin of Reversed Vortex Ratchet Motion
journal, December 2007
- Gillijns, W.; Silhanek, A. V.; Moshchalkov, V. V.
- Physical Review Letters, Vol. 99, Issue 24
Strongly Enhanced Pinning of Magnetic Vortices in Type-II Superconductors by Conformal Crystal Arrays
journal, June 2013
- Ray, D.; Olson Reichhardt, C. J.; Jankó, B.
- Physical Review Letters, Vol. 110, Issue 26
Mechanical equilibrium of conformal crystals
journal, March 1996
- Rothen, François; Pierański, Piotr
- Physical Review E, Vol. 53, Issue 3
Enhancing the critical current of a superconducting film in a wide range of magnetic fields with a conformal array of nanoscale holes
journal, June 2013
- Wang, Y. L.; Latimer, M. L.; Xiao, Z. L.
- Physical Review B, Vol. 87, Issue 22
Magnetic flux pinning in superconductors with hyperbolic-tessellation arrays of pinning sites
journal, May 2012
- Misko, V. R.; Nori, Franco
- Physical Review B, Vol. 85, Issue 18
Pinning, ordering, and dynamics of vortices in conformal crystal and gradient pinning arrays
journal, September 2014
- Ray, D.; Reichhardt, C.; Reichhardt, C. J. Olson
- Physical Review B, Vol. 90, Issue 9
Reversible ratchet effects for vortices in conformal pinning arrays
journal, May 2015
- Reichhardt, C.; Ray, D.; Reichhardt, C. J. Olson
- Physical Review B, Vol. 91, Issue 18
Fractal Networks, Braiding Channels, and Voltage Noise in Intermittently Flowing Rivers of Quantized Magnetic Flux
journal, March 1998
- Olson, C. J.; Reichhardt, C.; Nori, Franco
- Physical Review Letters, Vol. 80, Issue 10
Hall Noise and Transverse Freezing in Driven Vortex Lattices
journal, October 1999
- Kolton, Alejandro B.; Domínguez, Daniel; Grønbech-Jensen, Niels
- Physical Review Letters, Vol. 83, Issue 15
Two-dimensional optical thermal ratchets based on Fibonacci spirals
journal, July 2011
- Xiao, Ke; Roichman, Yael; Grier, David G.
- Physical Review E, Vol. 84, Issue 1
Commensurate and incommensurate vortex states in superconductors with periodic pinning arrays
journal, April 1998
- Reichhardt, C.; Olson, C. J.; Nori, Franco
- Physical Review B, Vol. 57, Issue 13
Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory
journal, November 2006
- Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M.
- Physical Review B, Vol. 74, Issue 17
Effective Temperature in Driven Vortex Lattices with Random Pinning
journal, November 2002
- Kolton, Alejandro B.; Exartier, Raphaël; Cugliandolo, Leticia F.
- Physical Review Letters, Vol. 89, Issue 22
Collective Interaction-Driven Ratchet for Transporting Flux Quanta
text, January 2001
- Jankó, B.; Nori, Franco; Olson, C. J.
- The American Physical Society
Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
text, January 2007
- Wan, M. B.; Reichhardt, C. J. Olson; Nussinov, Z.
- arXiv
Asymmetric weak-pinning superconducting channels: vortex ratchets
text, January 2007
- Yu, K.; Heitmann, T. W.; Song, C.
- arXiv
Artificial Brownian motors: Controlling transport on the nanoscale
text, January 2008
- Hanggi, Peter; Marchesoni, Fabio
- arXiv
Vortex ratchet reversal at fractional matching fields in kagomé-like array with symmetric pinning centers
text, January 2010
- de Lara, D. Perez; Alija, A.; Gonzalez, E. M.
- arXiv
Vortex ratchet reversal: The role of interstitial vortices
text, January 2011
- de Lara, D. Perez; Erekhinsky, M.; Gonzalez, E. M.
- arXiv
Rectification of Vortex Motion in a Circular Ratchet Channel
text, January 2011
- Lin, N. S.; Heitmann, T. W.; Yu, K.
- arXiv
Highly Effective Superconducting Vortex Pinning in Conformal Crystals
text, January 2013
- Guénon, S.; Rosen, Y. J.; Basaran, Ali C.
- arXiv
Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli
text, January 2013
- Shklovskij, Valerij A.; Sosedkin, Vladimir V.; Dobrovolskiy, Oleksandr V.
- arXiv
Pinning, Ordering, and Dynamics of Vortices in Conformal Crystal and Gradient Pinning Arrays
text, January 2014
- Ray, D.; Reichhardt, C.; Reichhardt, C. J. Olson
- arXiv
Transverse ratchet effect and superconducting vortices: Simulation and experiment
text, January 2014
- Dinis, L.; de Lara, D. Perez; Gonzalez, E. M.
- arXiv
Separation quality of a geometric ratchet
text, January 2001
- Keller, C.; Marquardt, Florian; Bruder, C.
- arXiv
Rectification and Flux Reversals for Vortices Interacting with Triangular Traps
text, January 2004
- Reichhardt, C. J. Olson; Reichhardt, C.
- arXiv
Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory
text, January 2006
- Berdiyorov, G. R.; Milošević, M. V.; Peeters, F. M.
- arXiv
Transverse rectification of disorder-induced fluctuations in a driven system
text, January 2006
- Kolton, Alejandro B.
- arXiv
Commensurate and Incommensurate Vortex States in Superconductors with Periodic Pinning Arrays
text, January 1998
- Reichhardt, C.; Olson, C. J.; Nori, Franco
- arXiv
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Superconductivity and hall effect of polycrystalline Pb82Bi18 thin films, a universal test platform for flux pinning by hybrid nanostructures
journal, October 2019
- Bang, Wonbae; Woo, Sung Oh; Morrison, T. D.
- International Journal of Modern Physics B, Vol. 33, Issue 25
Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting thin films with a nanoscale periodic pinning landscape
journal, September 2018
- Zechner, G.; Lang, W.; Dosmailov, M.
- Physical Review B, Vol. 98, Issue 10
Vortex Dynamic Phases in Type II Superconducting Strips with Regular and Flattened Triangular Pinning Arrays
journal, August 2018
- Verga, L. G.; Vizarim, N. P.; Carlone, M.
- Journal of Superconductivity and Novel Magnetism, Vol. 32, Issue 5
Self-assembled vortex crystals induced by inhomogeneous magnetic textures
journal, March 2019
- Menezes, Raí M.; Sardella, Edson; Cabral, Leonardo R. E.
- Journal of Physics: Condensed Matter, Vol. 31, Issue 17
Influence of ultrashort laser drilling on magnetic and transport characteristics of HTS tapes
journal, June 2019
- Pokrovskii, S. V.; Mavritskii, O. B.; Egorov, A. N.
- Superconductor Science and Technology, Vol. 32, Issue 7