Effects of kinked linear defects on planar flux line arrays

Abstract

In the hard core limit, interacting vortices in planar type II superconductors can be modeled as non-interacting one dimensional fermions propagating in imaginary time. We use this analogy to derive analytical expressions for the probability density and imaginary current of vortex lines interacting with an isolated bent line defect and to understand the pinning properties of such systems. When there is an abrupt change of the direction of the pinning defect, we find a sinusoidal modulation of the vortex density in directions both parallel and perpendicular to the defect.

arXiv comment13 figures

References in corpus (9)

• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Non-Hermitian Delocalization and Eigenfunctions
• Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors
• Non-Hermitian Luttinger Liquids and Vortex Physics
• Vortex pinning by a columnar defect in planar superconductors with point disorder
• Transverse Meissner Physics of Planar Superconductors with Columnar Pins
• Thermal depinning and transverse-field tilting transitions in a planar vortex array pinned by a columnar defect
• Competition between point and columnar disorder on the behavior of flux lines in 1+1 dimension
• Vortex pinning by meandering line defects in planar superconductors