Magnetic flux pinning in superconductors with hyperbolic-tesselation arrays of pinning sites

Abstract

We study magnetic flux interacting with arrays of pinning sites (APS) placed on vertices of hyperbolic tesselations (HT). We show that, due to the gradient in the density of pinning sites, HT APS are capable of trapping vortices for a broad range of applied magnetic fluxes. Thus, the penetration of magnetic field in HT APS is essentially different from the usual scenario predicted by the Bean model. We demonstrate that, due to the enhanced asymmetry of the surface barrier for vortex entry and exit, this HT APS could be used as a "capacitor" to store magnetic flux.

7 pages, 5 figures

References in corpus (6)

• Two-Dimensional Matter: Order, Curvature and Defects
• Commensurability effects in superconducting Nb films with quasiperiodic pinning arrays
• Enhanced pinning and proliferation of matching effects in a superconducting film with a Penrose array of magnetic dots
• Enhancing the critical current in quasiperiodic pinning arrays below and above the matching magnetic flux
• Unconventional Vortex Dynamics in Mesoscopic Superconducting Corbino Disks
• Collective vortex phases in periodic plus random pinning potential

Cited by in corpus (8)

• Reversible Ratchet Effects for Vortices in Conformal Pinning Arrays
• Effect of hexagonal patterned arrays and defect geometry on the critical current of superconducting films
• Pinning, Ordering, and Dynamics of Vortices in Conformal Crystal and Gradient Pinning Arrays
• Enhancing the effective critical current density in a Nb superconducting thin film by cooling in an inhomogeneous magnetic field
• Different approaches to generate matching effects using arrays in contact with superconducting films
• Nanostructured Superconductors
• Vortex Ordering and Dynamics on Santa Fe Artificial Ice Pinning Arrays
• Pinning of Vortices by impurities in Unconventional superconductors