Transverse Commensurability Effect for Vortices in Periodic Pinning Arrays

Abstract

Using computer simulations, we demonstrate a new type of commensurability that occurs for vortices moving longitudinally through periodic pinning arrays in the presence of an additional transverse driving force. As a function of vortex density, there is a series of broad maxima in the transverse critical depinning force that do not fall at the matching fields where the number of vortices equals an integer multiple of the number of pinning sites. The commensurability effects are associated with dynamical states in which evenly spaced structures consisting of one or more moving rows of vortices form between rows of pinning sites. Remarkably, the critical transverse depinning force can be more than an order of magnitude larger than the longitudinal depinning force.

arXiv comment4 pages, 4 postscript figures

References in corpus (14)

• Dynamic Phases of Vortices in Superconductors with Periodic Pinning
• Moving glass phase of driven lattices
• Commensurate and Incommensurate Vortex States in Superconductors with Periodic Pinning Arrays
• Nonequilibrium Steady States of Driven Periodic Media
• Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning
• Vortex configurations and critical parameters in superconducting thin films containing antidot arrays: Nonlinear Ginzburg-Landau theory
• Superconducting Transition and Vortex Pinning in Nb Films Patterned with Nano-scale Hole-arrays
• Complex Dynamical Flow Phases and Pinning in Superconductors with Rectangular Pinning Arrays
• Depinning and dynamics of vortices confined in mesoscopic flow channels
• Transverse depinning in strongly driven vortex lattices with disorder
• Critical Transverse Forces in Weakly Pinned Driven Vortex Systems
• Orientational pinning and transverse voltage: Simulations and experiments in square Josephson junction arrays
• Dynamical Phase Diagrams for Moving Vortices Interacting with Periodic Pinning
• Transverse Vortex Dynamics in Superconductors

Cited by in corpus (7)

• Skyrmion Dynamics and Topological Sorting on Periodic Obstacle Arrays
• Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films with a nanoscale periodic pinning landscape
• Switching and Jamming Transistor Effect for Vortex Matter in Honeycomb Pinning Arrays with ac Drives
• Dynamically Induced Locking and Unlocking Transitions in Driven Layered Systems with Quenched Disorder
• Collective Effects and Pattern Formation for Directional Locking of Disks Moving Through Obstacle Arrays
• Dynamical commensuration effect in a two-dimensional Yukawa solid modulated by periodic substrates
• Vortex Shear Banding Transitions in Superconductors with Inhomogeneous Pinning Arrays