The zero-bias anomaly conductance of a strongly correlated dot coupled to Luttinger liquid leads

We study the low-temperature differential conductance and density of states of a quantum dot coupled to Luttinger liquid (LL) leads in the Kondo regime using the nonequilibrium Green's function approach. Around zero bias, the Kondo peak decays and finally vanishes with the increasing of the intralead interaction, and then a dip develops for moderate interaction. The appearance of the dip manifests the zero-bias anomaly (ZBA). It illustrates that the combination of the Coulomb interaction on the dot and LL electrodes leads to a transition from one-channel Kondo physics to two-channel Kondo physics. The ZBA is strongly temperature-dependent. Our model explains experiments of the ZBA well