Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

We review the depinning and nonequilibrium phases of collectively interacting particle
systems driven over random or periodic substrates. This type of system is relevant to vortices …

Quantized magnetic vortices driven by electric current determine key electromagnetic
properties of superconductors. While the dynamic behavior of slow vortices has been …

We have studied the motion of a magnetic domain wall (MDW) driven by a magnetic field H
in a 2D ultrathin Pt/Co/Pt film showing perpendicular anisotropy and quenched disorder …

This article reviews, from a very personal point of view, the origins and the early work on
transitions driven by topological defects such as vortices in the two dimensional planar rotor …

Elastic systems driven in a disordered medium exhibit a depinning transition at zero
temperature and a creep regime at finite temperature and slow drive f. We derive functional …

We use particle-based simulations to examine the static and driven collective phases of
Skyrmions interacting with random quenched disorder. We show that nondissipative effects …

The new dynamic phase diagram for driven vortices with varying lattice softness we present
here indicates that, at high driving currents, at least two distinct dynamic phases of flux flow …

A review is given on the theory of vortex-glass phases in impure type-II superconductors in
an external field. We begin with a brief discussion of the effects of thermal fluctuations on the …

Abstract Domain walls in magnets, vortex lattices in superconductors, contact lines at
depinning, and many other systems can be modeled as an elastic system subject to …