Effects of correlations and disorder in quantum wires

We calculate electron-electron correlation effects in a one-dimensional electron liquid at low densities using the self-consistent scheme of Singwi, Tosi, Land and Sjölander (STLS). We determine the static structure factor S(q) and plasmon dispersion ωpl(q) for different electron densities. We also include the effects of disorder and calculate the dependence of correlation effects on the electron scattering rate off disorder. Using the scattering rate γ we determine transport properties like the mean-free path, the peak mobility and the boundary between weak and strong localisation phases. We note a relation between the peak mobility and this boundary