Depinning and dynamics of systems with competing interactions in quenched disorder

We examine the depinning and driven dynamics of a system in which there is a competition between long-range Coulomb repulsive and short-range attractive interactions. In the absence of disorder, the system forms Wigner crystal, stripe and clump phases as the attractive interaction is increased. With quenched disorder, these phases are fragmented and there is a finite depinning threshold. The stripe phase is the most strongly pinned and shows hysteretic transport properties. At higher drives beyond depinning, a dynamical reordering transition occurs in all the phases, which is associated with a characteristic transport signature.