Fano Resonance in Landau Fermi and Luttinger Liquids

With a two-channel model, we study the influence of temperature, external
voltage and magnetic flux on the line shape of the Fano resonance, and show
that in the Luttinger liquid case, the background transmittance and the
asymmetric parameter depend strongly on the temperature and external
voltage, while for the Landau Fermi liquid case they are nearly independent
of these parameters in the low energy region. Moreover, we demonstrate that the asymmetric parameter changes periodically with an external magnetic flux, which is consistent with the recent experimental data.