Localization of Elastic Layers by Correlated Disorder

Abstract

The equilibrium behavior of a system of elastic layers under tension in the presence of correlated disorder is studied using functional renormalization group techniques. The model exhibits many of the features of the Bose glass phase of type II superconductors induced by columnar defects, but may be more directly applicable to charge density waves, incommensurate striped magnetic phases, stacked membranes under tension, vicinal crystal surfaces, or superconducting ``vortex--chains''. Below five dimensions, an epsilon expansion for the stable zero temperature fixed point yields the properties of the glassy phase. Transverse to the direction of correlation, the randomness induces logarithmic growth of displacements. Displacements are strongly localized in the correlation direction. The absence of a response to a weak applied transverse field (transverse Meissner effect) is demonstrated analytically. In this simple model, the localized phase is stable to point disorder, in contrast to the behavior in the presence of dislocations, in which the converse is believed to be true.

4 pages, LaTeX3.0, REVTEX3.0 and epsf macros required, 2 uuencoded postscript figures appended

References in corpus (2)

• Large N Expansion for 4-Epsilon Dimensional Oriented Manifolds in Random Media
• Delocalization of Flux Lines from Extended Defects by Bulk Randomness

Cited by in corpus (32)

• The nonperturbative functional renormalization group and its applications
• Creep and depinning in disordered media
• Phase diagrams of flux lattices with disorder
• Nonequilibrium Steady States of Driven Periodic Media
• Functional Renormalization Group and the Field Theory of Disordered Elastic Systems
• Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles
• Creep via dynamical functional renormalization group
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
• Measuring functional renormalization group fixed-point functions for pinned manifolds
• Nonperturbative Functional Renormalization Group for Random Field Models. III: Superfield formalism and ground-state dominance
• Disorder-Induced Depinning Transition
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Velocity-force characteristics of a driven interface in a disordered medium
• Elastic systems with correlated disorder: Response to tilt and application to surface growth
• Thermal fluctuations in pinned elastic systems: field theory of rare events and droplets
• Exact renormalization group and applications to disordered problems: part I
• Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems
• Gribov copies, avalanches and dynamic generation of a gluon mass
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Polymers and manifolds in static random flows: a renormalization group study
• Quantum Collective Creep: a Quasiclassical Langevin Equation Approach
• Dynamical Transverse Meissner Effect and Transition in Moving Bose Glass
• Thermal depinning and transverse-field tilting transitions in a planar vortex array pinned by a columnar defect
• Pinning of Flux Lines by Planar Defects
• Planar defects and the fate of the Bragg glass phase of type-II superconductors
• Pinning of stripes in cuprate superconductors
• Order and Creep in Flux Lattices and CDWs Pinned by Planar Defects
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• Smectic vortex glass
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas