“…Also energy gaps in the spectral function of 1D systems (which are related to the metal-insulator transition) were studied theoretically for freely suspended wires or rings [5,[16][17][18][19] and, e.g., the phase transition or spontaneous spin polarization were observed. Additionally, the conductance across a non-magnetic quantum wire in the presence of electron leakage to the substrate was investigated for various types of surfaces [20,21].…”