Violation of Kirchhoff's Laws for a Coherent RC Circuit-Reference-Cited by-同舟云学术

Violation of Kirchhoff's Laws for a Coherent RC Circuit

Published:2006-07-28 Issue:5786 Volume:313 Page:499-502
ISSN:0036-8075
Container-title:Science
language:en
Short-container-title:Science

Author:

Gabelli J.¹²³,Fève G.¹²³,Berroir J.-M.¹²³,Plaçais B.¹²³,Cavanna A.¹²³,Etienne B.¹²³,Jin Y.¹²³,Glattli D. C.¹²³

Affiliation:

1. Laboratoire Pierre Aigrain, Département de Physique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France.

2. Laboratoire de Photonique et Nanostructures, UPR20 CNRS, Route de Nozay, 91460 Marcoussis Cedex, France.

3. Service de Physique de l'Etat Condensé (CNRS URA 2464), Commissariat à l'Energie Atomique (CEA) Saclay, F91191 Gif-sur-Yvette, France.

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.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference28 articles.

1. R. Landauer, IBM J. Res. Dev.1, 233 (1957).

2. Electrical resistance of disordered one-dimensional lattices

3. New method for scaling theory of localization. II. Multichannel theory of a "wire" and possible extension to higher dimensionality

4. Generalized many-channel conductance formula with application to small rings

5. Evidence for Luttinger-Liquid Behavior in Crossed Metallic Single-Wall Nanotubes

Cited by 307 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterizing and mitigating timing-noise- induced decoherence in single-electron sources;Physical Review B;2024-04-17

2. Heat and charge transport in interacting nanoconductors driven by time-modulated temperatures;SciPost Physics;2024-04-05

3. Implementation of Unilateral thermal nonreciprocity and front and rear electromagnetic nonreciprocity based on Weyl semimetal;Optical Materials;2024-04

4. Correlated two-leviton states in the fractional quantum Hall regime;Physical Review B;2024-01-30

5. Probing Spin-Dependent Ballistic Charge Transport at Single-Nanometer Length Scales;Nano Letters;2023-12-14