Pinning of Flux Lines by Planar Defects

Abstract

The influence of randomly distributed point impurities and planar defects on order and transport in type-II superconductors and related systems is studied. It is shown that the Bragg glass phase is unstable with respect to planar efects. Even a single weak defect plane oriented parallel to the magnetic field as well as to one of the main axis of the Abrikosov flux line lattice is a relevant perturbation in the Bragg glass. A defect that is aligned with the magnetic field restores the flux density oscillations which decay algebraically with the distance from the defect. The theory exhibits striking similarities to the physics of a Luttinger liquid with a frozen impurity. The exponent for the flux line creep in the direction perpendicular to a relevant defect is derived. We find that the flux line lattice exhibits in the presence of many randomly distributed parallel planar defects aligned to the magnetic field a new glassy phase which we call planar glass. The planar glass is characterized by diverging shear and tilt moduli, a transverse Meissner effect, resistance against shear deformations. We also obtain sample to sample fluctuations of the longitudinal magnetic susceptibility and an exponential decay of translational long range order in the direction perpendicular to the defects. The flux creep perpendicular to the defects leads to a nonlinear resistivity $\rho (J\to 0)\sim \exp [-(J_D/J{)}^{3/2}]$. Strong planar defects enforce arrays of dislocations that are located at the defects with a Burgers vector parallel to the defects in order to relax shear strain.

27 pages

References in corpus (29)

• Elastic theory of flux lattices in presence of weak disorder
• Elastic Theory of pinned flux lattices
• Vortex-glass phases in type-II superconductors
• A Bragg glass phase in the vortex lattice of a type II superconductor
• Friedel oscillations for interacting fermions in one dimension
• Large N Expansion for 4-Epsilon Dimensional Oriented Manifolds in Random Media
• Dislocations and the critical endpoint of the melting line of vortex line lattices
• Depinning transition of dislocation assemblies: pileup and low-angle grain boundary
• Resurrection of the Melting Line in the Bose Glass Superconductor
• Theory of plastic vortex creep
• Fluctuations and Intrinsic Pinning in Layered Superconductors
• Vortex Glass Phase and Universal Susceptibility Variations in Planar Array of Flux Lines
• A New Criterion for Crack Formation in Disordered Materials
• Disorder-Induced Depinning Transition
• Higher correlations, universal distributions and finite size scaling in the field theory of depinning
• Localization of Elastic Layers by Correlated Disorder
• Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors
• Elastic systems with correlated disorder: Response to tilt and application to surface growth
• Delocalization of Flux Lines from Extended Defects by Bulk Randomness
• Nonuniversal Correlations and Crossover Effects in the Bragg-Glass Phase of Impure Superconductors
• Quantum creep and variable range hopping of one-dimensional interacting electrons
• Non-Hermitian Luttinger Liquids and Vortex Physics
• Non-Universal Quasi-Long Range Order in the Glassy Phase of Impure Superconductors
• Twin-Boundary Pinning of Superconducting Vortex Arrays
• Thermal depinning and transverse-field tilting transitions in a planar vortex array pinned by a columnar defect
• Planar defects and the fate of the Bragg glass phase of type-II superconductors
• Influence of thermal fluctuations on quantum phase transitions in one-dimensional disordered systems: Charge density waves and Luttinger liquids
• Order and Creep in Flux Lattices and CDWs Pinned by Planar Defects
• Transport in Luttinger Liquids with Strong Impurities

Cited by in corpus (5)

• Anisotropic suppression of hyperuniformity of elastic systems in media with planar disorder
• Random field and random anisotropy O(N) spin systems with a free surface
• Dynamical regimes of vortex flow in type-II superconductors with parallel twin boundaries
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• Delta H = Delta B region in volume defect-dominating superconductor