Transport in two-dimensional quantum wires with point scatterers. The Wigner-Smith time delay

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire. Incident electrons with a given energy are scattered on impurities and boundaries of the wire. The electron-electron interaction is neglected in the model. In particular, the intermediate regime and the localization regime of transport are studied in more detail in terms of the conductance and statistical properties of S-matrix ensemble for a given incident electron energy. The Wigner-Smith time delay distribution obtained for the localization regime is compared with the prediction for the scattering by a one-dimensional random potential.