Magnetic Properties of the transition to localized superconductivity around columnar defects

Abstract

We consider flux lines in presence of a dense square array of columnar defects, with insulating core and radius of the order of the coherence length. The properties of the phase transition from the flux line regime to the localized superconducting state are determined here. We show that the localized superconducting state is a new vortex state because of the counterclockwise and of the clockwise supercurrent flows found around each defect. We propose here a general operator to count the vorticity of any cavity inside a superconductor and give a new method to obtain the reversible magnetization of superconductors with multiply connected geometries.

9 pages and 4 figures. to appear in Physical Review B (November issue)

References in corpus (1)

• Multiquantum Vortices in Conventional Superconductors with Columnar Defects Near the Upper Critical Field

Cited by in corpus (6)

• Effect of the boundary condition on the vortex patterns in mesoscopic three-dimensional superconductors - disk and sphere
• Mott insulator phases and first-order melting in BSCCO crystals with periodic surface holes
• Transition to a Superconductor with Insulating Cavities
• Critical vortex line length near a zigzag of pinning centers
• Vortices in superconductors with a columnar defect: finite size effects
• Three-dimensional Ginzburg-Landau simulation of a vortex line displaced by a zigzag of pinning spheres