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Physics Letters A

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

Kai-Hua Yang, Xian Tu He, Huai‐Yu Wang, Kaidi Liu, Beiyun Liu

Published Aug 1, 2014• 4 citations
Publisher
DOI
10.1016/j.physleta.2014.09.007

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The shot noise of a one-dimensional wire interrupted by two barriers shows interesting features related to the interplay between Coulomb blockade effects, Luttinger correlations, and discrete excitations. At small bias the Fano factor reaches the lowest attainable value, 1/2,1/2,1/2, irrespective of the ratio of the two junction resistances. At larger voltages this asymmetry is power-law renormalized by the interaction strength. We discuss how the measurement of current and these features of the noise allow to extract the Luttinger-liquid parameter.
Luttinger-liquid behavior of one-dimensional correlated electron systems is characterized by power-law scaling of a variety of physical observables with exponents determined by a single interaction dependent parameter KKK. We suggest a setup to study Luttinger-liquid behavior in quantum wires which allows us to determine KKK from two independent measurements: transport through a quantum dot embedded in the wire and the charge on the dot. Consistency of the two KKK's for a single probe would provide strong experimental evidence for the Luttinger-liquid paradigm.