The vortex lattice in type-II superconductors: Ideal or distorted, in bulk and films

✍ Scribed by Ernst Helmut Brandt

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 929 KB
• Volume: 248
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.201147095

✦ Synopsis

Abstract

Abrikosov's solution of the linearized Ginzburg–Landau theory describes a periodic lattice of vortex lines in type‐II superconductors at large inductions. This solution is generalized to non‐periodic vortex arrangements, e.g., to lattices with a vacancy surrounded by relaxing vortex lattice and to periodically distorted lattices that appear in the nonlocal theory of elasticity of the vortex lattice. Generalizations to lower magnetic inductions and to three‐dimensional arrangements of curved vortex lines are also given. It is shown how the periodic vortex lattice can be computed for bulk superconductors as well as for thick and thin films in a perpendicular field for all Ginzburg–Landau parameters κ and all inductions ${\bar {B}}$.