The shot noise of a strongly correlated quantum dot coupled to the Luttinger liquid leads

• The shot noise of a dot coupled to Luttinger liquid leads in the Kondo regime.
• A shot noise formula is derived.
• Intralead interaction suppresses the shot noise.
• The noise shows different voltage-dependence for different intralead interaction.

We study the shot noise of a strongly correlated quantum dot weakly coupled to Luttinger liquid leads in the Kondo regime by means of the extended equation of motion method. A general zero-frequency shot noise formula with good convergence is derived. The shot noise exhibits a non-monotonic dependence on voltage for weak intralead interaction. There is a peak around the Kondo temperature at low voltage when the interaction is very weak, and its height decreases rapidly with the intralead interaction increasing. When the interaction is moderately strong the peak disappears and the shot noise scales as a power law in bias voltage, indicating that the intralead electron interaction suppresses the shot noise. It is possible that the measurements of the shot noise spectrum can extract the information of the intralead interaction.