title: Tomonaga-Luttinger physics in electronic quantum circuits.
abstract: In one-dimensional conductors, interactions result in correlated electronic systems. At low energy, a hallmark signature of the so-called Tomonaga-Luttinger liquids is the universal conductance curve predicted in presence of an impurity. A seemingly different topic is the quantum laws of electricity, when distinct quantum conductors are assembled in a circuit. In particular, the conductances are suppressed at low energy, a phenomenon called dynamical Coulomb blockade. Here we investigate the conductance of mesoscopic circuits constituted by a short single-channel quantum conductor in series with a resistance, and demonstrate a proposed link to Tomonaga-Luttinger physics. We reformulate and establish experimentally a recently derived phenomenological expression for the conductance using a wide range of circuits, including carbon nanotube data obtained elsewhere. By confronting both conductance data and phenomenological expression with the universal Tomonaga-Luttinger conductance curve, we demonstrate experimentally the predicted mapping between dynamical Coulomb blockade and the transport across a Tomonaga-Luttinger liquid with an impurity.
authors: CNRS/Univ Paris Diderot (Sorbonne Paris Cité), Laboratoire de Photonique et de Nanostructures, route de Nozay, 91460 Marcoussis, France.
authors: S
authors: S
authors: Jezouin
authors: M
authors: M
authors: Albert
authors: F D
authors: FD
authors: Parmentier
authors: A
authors: A
authors: Anthore
authors: U
authors: U
authors: Gennser
authors: A
authors: A
authors: Cavanna
authors: I
authors: I
authors: Safi
authors: F
authors: F
authors: Pierre
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