Stripe dynamics in presence of disorder and lattice potentials

We study the influence of disorder and lattice pinning on the dynamics of a charged stripe. Starting from a phenomenological model of a discrete quant um string, we determine the phase diagram for this system. Three regimes ar e identified, the free phase, the flat phase pinned by the lattice, and the disorder pinned phase. In the absence of disordered impurities, the system can be mapped onto a 1D array of Josephson junctions (JJ). The results are compared with measurements on nickelates and cuprates and a good qualitati ve agreement is found between our results and the experimental data.