Electron-electron interactions in mesoscopic wires

Hermann Grabert,
Albert-Ludwigs-Universität Freiburg

Progress in nanofabrication and the availability of new classes of quantum wires such as carbon nanotubes allow now tackling the behavior of interacting electrons in mesoscopic wires. The interactions lead to anomalous current-voltage relations and manifest themselves in the tunneling density of states and the electronic energy and phase relaxation rates. Quantum wires display a variety of interaction effects ranging from Coulomb blockade over diffusive anomalies to Tomonaga-Luttinger-liquid behavior, depending on the number of transport channels, disorder, and the presence of magnetic impurities. The talk summarizes some of the recent theoretical advances.