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Violation of Kirchhoff's Laws for a Coherent RC Circuit (2006)

Abstract
What is the complex impedance of a fully coherent quantum resistance-capacitance (RC) circuit at GHz 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.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00108295/en/
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords Physics/Condensed Matter/Mesoscopic Systems and Quantum Hall Effect
Type peer-reviewed article
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/10/82/95/PDF/text.pdf