Vortex states in 2D superconductor at high magnetic field in a periodic pinning potential

Abstract

The effect of a periodic pinning array on the vortex state in a 2D superconductor at low temperatures is studied within the framework of the Ginzburg-Landau approach. It is shown that attractive interaction of vortex cores to a commensurate pin lattice stabilizes vortex solid phases with long range positional order against violent shear fluctuations. Exploiting a simple analytical method, based on the Landau orbitals description, we derive a rather detailed picture of the low temperatures vortex state phase diagram. It is predicted that for sufficiently clean samples application of an artificial periodic pinning array would enable one to directly detect the intrinsic shear stiffness anisotropy characterizing the ideal vortex lattice.

8 pages, 5 figures

References in corpus (3)

• Commensurate and Incommensurate Vortex Lattice Melting in Periodic Pinning Arrays
• Vortex lattice in presence of a tunable periodic pinning potential
• Vortices in layered superconductors with columnar pins: A density functional study

Cited by in corpus (5)

• Pinning of vortices in a Bose-Einstein condensate by an optical lattice
• Pinning and collective modes of a vortex lattice in a Bose-Einstein condensate
• Collective vortex phases in periodic plus random pinning potential
• Competing structures in two dimensions: square-to-hexagonal transition
• Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattice