title: Violation of Kirchhoff's laws for a coherent RC circuit.
abstract: What is the complex impedance of a fully coherent quantum resistance-capacitance (RC) circuit at gigahertz frequencies in which a resistor and a capacitor are connected in series? While Kirchhoff's laws predict addition of capacitor and resistor impedances, we report on observation of a different behavior. The resistance, here associated with charge relaxation, differs from the usual transport resistance given by the Landauer formula. In particular, for a single-mode conductor, the charge-relaxation resistance is half the resistance quantum, regardless of the transmission of the mode. The new mesoscopic effect reported here is relevant for the dynamical regime of all quantum devices.
authors.affiliation: Laboratoire Pierre Aigrain, Département de Physique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France.
authors.forename: J
authors.initials: J
authors.lastname: Gabelli
authors.forename: G
authors.initials: G
authors.lastname: Fève
authors.forename: J-M
authors.initials: JM
authors.lastname: Berroir
authors.forename: B
authors.initials: B
authors.lastname: Plaçais
authors.forename: A
authors.initials: A
authors.lastname: Cavanna
authors.forename: B
authors.initials: B
authors.lastname: Etienne
authors.forename: Y
authors.initials: Y
authors.lastname: Jin
authors.forename: D C
authors.initials: DC
authors.lastname: Glattli