Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves

Abstract

The review is devoted to the theory of collective and it local pinning effects in various disordered non-linear driven systems. Although the emphasis is put on charge and spin density waves and magnetic domain walls, the theory has also applications to flux lines and lattices thereof, dislocation lines, adsorbed mono-layers and related systems. In the first part we focus on the theory of the collective pinning which includes the equilibrium properties of elastic systems with frozen-in disorder as well as the features close to the dynamic depinning transition enforced by an external driving force and at finite temperatures. Thermal fluctuations smear out this transition and allow for a creep motion of the elastic objects even at small forces. An ac-driving force also destroys the sharp transition which is replaced by a velocity hysteresis. The second part is devoted to the local pinning picture and its applications. Inclusion of plastic deformations results in a rich cross-over behavior of the force-velocity relation as well as of the frequency dependence of the dynamic response. The local pinning recovers and exploits new elements of the energy landscape such as termination points of metastable branches or irreversibility of other ones related to generation of topological defects in the course of sliding. It also gives access to the quantum creep described as a tunneling between retarded and advanced configurations.

arXiv comment73 pages, 29 figures; Advances in Physics 2004 (in press)

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Cited by in corpus (92)

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• Phase dynamics of inductively coupled intrinsic Josephson junctions and terahertz electromagnetic radiation
• Pinning dependent field driven domain wall dynamics and thermal scaling in an ultrathin Pt/Co/Pt magnetic film
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• Universal fluctuations and extreme statistics of avalanches near the depinning transtition
• Thermal rounding of the depinning transition
• Bending and Breaking of Stripes in a Charge-Ordered Manganite
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Crossed ratchet effects for magnetic domain wall motion
• Depinning and creep motion in glass states of flux lines
• Insulating Josephson-junction chains as pinned Luttinger liquids
• Disordered Elastic Systems and One-Dimensional Interfaces
• Effective driven dynamics for one-dimensional conditioned Langevin processes in the weak-noise limit
• Depinning transition for a screw dislocation in a model solid solution
• Unconventional hysteretic transition in a charge density wave
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium
• Elastic systems with correlated disorder: Response to tilt and application to surface growth
• One-dimensional Josephson junction arrays: Lifting the Coulomb blockade by depinning
• Dielectric response due to stochastic motion of pinned domain walls
• Statics and dynamics of elastic manifolds in media with long-range correlated disorder
• Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
• Universal distribution of threshold forces at the depinning transition
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Distribution of maximum velocities in avalanches near the depinning transition
• Temperature-induced crossovers in the static roughness of a one-dimensional interface
• The elastic depinning transition of vortex lattices in two dimensions
• Scaling, self-similar solutions and shock waves for V-shaped field potentials
• Maximum relative height of elastic interfaces in random media
• Strong pinning theory of thermal vortex creep in type II superconductors
• Extended quantum anomalous Hall effect in moiré structures: phase transitions and transport
• Bragg glass signatures in Pd${}_x$ErTe${}_3$ with X-ray diffraction Temperature Clustering (X-TEC)
• Thermal depinning and creep in strong pinning theory
• Effect of dimensionality on sliding charge density waves. The case of the quasi-two dimensional TbTe${}_3$ system probed by coherent x-ray diffraction
• Driven interfaces: from flow to creep through model reduction
• Finite-temperature and finite-time scaling of the directed polymer free-energy with respect to its geometrical fluctuations
• Pinning time statistics for vortex lines in disordered environments
• Non-Existence of Positive Stationary Solutions for a Class of Semi-Linear PDEs with Random Coefficients
• Interplay between phase defects and spin polarization in the specific heat of the spin density wave compound (TMTTF)_2Br in a magnetic field
• Distribution of velocities and acceleration for a particle in Brownian correlated disorder: inertial case
• Thermally rounded depinning of an elastic interface on a washboard potential
• Direct determination of the collective pinning radius in high temperature superconductors
• Effect of disorder geometry on the critical force in disordered elastic systems
• Roughening of the anharmonic Larkin model
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• A numerical study of the statistics of roughness parameters for fluctuating interfaces
• Energy relaxation in disordered charge and spin density waves
• Depinning of disordered bosonic chains
• Domain-wall free energy in Heisenberg ferromagnets
• The role of rare events in the pinning problem
• Segmental front line dynamics of randomly pinned ferroelastic domain walls
• Transport of charge-density waves in the presence of disorder: Classical pinning vs quantum localization
• Charge filling factors in clean and disordered arrays of tunnel junctions
• Bimodal energy relaxations in quasi-one-dimensional systems
• Thermal Effects in the dynamics of disordered elastic systems
• Non-Gaussian tail in the force distribution: A hallmark of correlated disorder in the host media of elastic objects
• Giant Magnetoresistance in Nanogranular Magnets
• Variable-range hopping in 2D quasi-1D electronic systems
• Coulomb drag and depinning in bilinear Josephson junction arrays
• Depinning transition of self-propelled particles
• Exact results for a toy model exhibiting dynamic criticality
• Tracking defects of Electronic Crystals by Coherent X-ray Diffraction
• Phase slips, dislocations, half-integer vortices, two-fluid hydrodynamics and the chiral anomaly in charge and spin density waves
• On mean field theory for ac-driven elastic interfaces exposed to disorder
• Landau-Ginzburg theory of charge density wave formation accompanying lattice and electronic long-range ordering
• Critical Scaling and Aging near the Flux Line Depinning Transition
• Perturbation theory for ac-driven interfaces in random media
• Curvature-driven AC-assisted creep dynamics of magnetic domain walls
• Loss of memory of an elastic line on its way to limit cycles
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Pinning theory of domain walls in helical magnets
• Vortex Wall Dynamics and Pinning in Helical Magnets
• Coulombian Disorder in Periodic Systems
• Depinning of a discrete elastic string from a two dimensional random array of weak pinning points
• Sliding phasons in Moiré Ladders
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• Pinning by rare defects and effective mobility for elastic interfaces in high dimensions
• Impact of the lead factor of neutron irradiation on the magnetic properties of RPV steels
• New Insight into the Fluctuations of the Moving Vortex Lattice: Non-Gaussian Noise and Levy Flights
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• Spectra of pinned charge density waves with background current
• Low-Temperature Collective Transport and Dynamics in Charge Density Wave Conductor Niobium Triselenide
• Inhomogeneous and nonstationary Hall states of the CDW with quantized normal carriers
• Finite temperature crossovers in periodic disordered systems