Tomonaga-Luttinger physics in electronic quantum circuits

In one-dimensional conductors, interactions among electrons give rise to correlated electronic systems characterized by unique transport properties, primarily described by Tomonaga-Luttinger liquid (TLL) theory. This study aims to explore the relationship between dynamical Coulomb blockade (DCB) and TLL physics in mesoscopic circuits. We performed experimental measurements on a series of circuits consisting of a short single-channel quantum conductor coupled with a resistance to determine the conductance behavior. By reformulating and validating a recently established phenomenological expression for conductance across a variety of circuit configurations, including data from carbon nanotubes, we systematically compared the resulting conductance data with the theoretical universal conductance curve of TLL. Our findings confirm the predicted correspondence between DCB phenomena and the transport properties of TLL in the presence of impurities. The results reveal intricate connections in one-dimensional systems that deviate from conventional models, emphasizing the collective behavior of electronic excitations and the significance of interaction effects in determining the observed transport pathways. This research contributes to a deeper understanding of quantum transport in low-dimensional systems and the fundamental principles underlying quantum circuit functionality.