skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Physical Review B
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

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.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1337094
Alternate ID(s):
OSTI ID: 1237784
Report Number(s):
LA-UR-15-29312
Journal Information:
Physical Review B, Vol. 93, Issue 6; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (83)

Rectification of Swimming Bacteria and Self-Driven Particle Systems by Arrays of Asymmetric Barriers journal July 2008
Why molecules move along a temperature gradient journal December 2006
Microfabricated Sieve for the Continuous Sorting of Macromolecules journal February 1998
Composite vortex ordering in superconducting films with arrays of blind holes journal January 2009
Brownian Ratchets: Molecular Separations in Lipid Bilayers Supported on Patterned Arrays journal August 1999
Flux Flow Noise and Dynamical Transitions in a Flux Line Lattice journal April 1995
Special pinning phenomena in arrays of defects with gradient spatial distributions on niobium film journal May 2015
Highly effective superconducting vortex pinning in conformal crystals journal June 2013
Rocking ratchets in nanostructured superconducting–magnetic hybrids journal May 2009
Lattice effects and current reversal in superconducting ratchets journal October 2007
Enhanced pinning in superconducting thin films with graded pinning landscapes journal May 2013
Conformal crystal journal September 1993
Transverse ratchet effect and superconducting vortices: simulation and experiment journal July 2009
Lateral Separation of Macromolecules and Polyelectrolytes in Microlithographic Arrays journal February 1998
Transverse rectification in superconducting thin films with arrays of asymmetric defects journal August 2007
Controlled multiple reversals of a ratchet effect journal March 2006
Dynamic Melting of the Vortex Lattice journal December 1994
Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli journal December 2013
Nonequilibrium fluctuation-induced transport journal May 1994
Separating particles according to their physical properties: Transverse drift of underdamped and overdamped interacting particles diffusing through two-dimensional ratchets journal June 2005
Separation quality of a geometric ratchet journal April 2002
Separation of suspended particles in microfluidic systems by directional locking in periodic fields journal June 2009
Nonequilibrium Dynamic Phase Diagram for Vortex Lattices journal October 1998
Archimedean-like tiling on decagonal quasicrystalline surfaces journal July 2008
Rectification and flux reversals for vortices interacting with triangular traps journal November 2005
Vortex ratchet effect in a niobium film with spacing-graded density of pinning sites journal August 2007
Reducing vortex density in superconductors using the ‘ratchet effect’ journal July 1999
Comment on “Transverse rectification in superconducting thin films with arrays of asymmetric defects” [Appl. Phys. Lett. 91, 062505 (2007)] journal April 2008
Geometrically controlled ratchet effect with collective vortex motion journal July 2015
A Superconducting Reversible Rectifier That Controls the Motion of Magnetic Flux Quanta journal November 2003
Rectified vortex motion in an Nb film with a spacing-graded array of holes journal February 2010
Transverse rectification of disorder-induced fluctuations in a driven system journal January 2007
Brownian motors: noisy transport far from equilibrium journal April 2002
Artificial Brownian motors: Controlling transport on the nanoscale journal March 2009
Forced thermal ratchets journal September 1993
A Wall of Funnels Concentrates Swimming Bacteria journal September 2007
Superconducting Fluxon Pumps and Lenses journal December 1999
Collective Interaction-Driven Ratchet for Transporting Flux Quanta journal October 2001
Guidance of vortices and the vortex ratchet effect in high- T c superconducting thin films obtained by arrangement of antidots journal May 2004
Vortex-Rectification Effects in Films with Periodic Asymmetric Pinning journal February 2005
Reversible vortex ratchet effects and ordering in superconductors with simple asymmetric potential arrays journal February 2007
Asymmetric weak-pinning superconducting channels: Vortex ratchets journal December 2007
Nanostructured Superconductors With Asymmetric Pinning Potentials: Vortex Ratchets journal October 2009
High-frequency vortex ratchet effect in a superconducting film with a nanoengineered array of asymmetric pinning sites journal May 2010
Frequency-dependent ratchet effect in superconducting films with a tilted washboard pinning potential journal August 2011
Guided vortex motion in YBa 2 Cu 3 O 7 thin films with collective ratchet pinning potentials journal January 2012
Rocking Ratchets in Two-Dimensional Josephson Networks: Collective Effects and Current Reversal journal January 2007
Rectification of vortex motion in a circular ratchet channel journal October 2011
Evidence of vortex jamming in Abrikosov vortex flux flow regime journal August 2012
Rocking ratchet induced by pure magnetic potentials with broken reflection symmetry journal December 2009
Current reversal in collective ratchets induced by lattice instability journal December 2007
Vortex ratchet reversal at fractional matching fields in kagomélike array with symmetric pinning centers journal November 2010
Vortex ratchet reversal: Role of interstitial vortices journal May 2011
Vortex Core Deformation and Stepper-Motor Ratchet Behavior in a Superconducting Aluminum Film Containing an Array of Holes journal March 2011
Origin of Reversed Vortex Ratchet Motion journal December 2007
Strongly Enhanced Pinning of Magnetic Vortices in Type-II Superconductors by Conformal Crystal Arrays journal June 2013
Mechanical equilibrium of conformal crystals journal March 1996
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
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
Fractal Networks, Braiding Channels, and Voltage Noise in Intermittently Flowing Rivers of Quantized Magnetic Flux journal March 1998
Hall Noise and Transverse Freezing in Driven Vortex Lattices journal October 1999
Two-dimensional optical thermal ratchets based on Fibonacci spirals journal July 2011
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
Effective Temperature in Driven Vortex Lattices with Random Pinning journal November 2002
Collective Interaction-Driven Ratchet for Transporting Flux Quanta text January 2001
Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers text January 2007
Asymmetric weak-pinning superconducting channels: vortex ratchets text January 2007
Artificial Brownian motors: Controlling transport on the nanoscale text January 2008
Vortex ratchet reversal at fractional matching fields in kagomé-like array with symmetric pinning centers text January 2010
Vortex ratchet reversal: The role of interstitial vortices text January 2011
Rectification of Vortex Motion in a Circular Ratchet Channel text January 2011
Highly Effective Superconducting Vortex Pinning in Conformal Crystals text January 2013
Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli text January 2013
Pinning, Ordering, and Dynamics of Vortices in Conformal Crystal and Gradient Pinning Arrays text January 2014
Transverse ratchet effect and superconducting vortices: Simulation and experiment text January 2014
Separation quality of a geometric ratchet text January 2001
Rectification and Flux Reversals for Vortices Interacting with Triangular Traps text January 2004
Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory text January 2006
Transverse rectification of disorder-induced fluctuations in a driven system text January 2006
Commensurate and Incommensurate Vortex States in Superconductors with Periodic Pinning Arrays text January 1998

Cited By (5)

Superconductivity and hall effect of polycrystalline Pb82Bi18 thin films, a universal test platform for flux pinning by hybrid nanostructures journal October 2019
Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting YBa 2 Cu 3 O 7 δ thin films with a nanoscale periodic pinning landscape journal September 2018
Vortex Dynamic Phases in Type II Superconducting Strips with Regular and Flattened Triangular Pinning Arrays journal August 2018
Self-assembled vortex crystals induced by inhomogeneous magnetic textures journal March 2019
Influence of ultrashort laser drilling on magnetic and transport characteristics of HTS tapes journal June 2019

Similar Records

Pinning, flux diodes and ratchets for vortices interacting with conformal pinning arrays
Journal Article · Wed Feb 01 00:00:00 EST 2017 · Physica. C, Superconductivity · OSTI ID:1337094

Pinning, flux diodes and ratchets for vortices interacting with conformal pinning arrays
Journal Article · Tue May 31 00:00:00 EDT 2016 · Physica. C, Superconductivity · OSTI ID:1337094

Reversible ratchet effects for vortices in conformal pinning arrays
Journal Article · Mon May 04 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1337094