Violation of Kirchhoff's Laws for a Coherent RC Circuit
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- 28 July 2006
- journal article
- other
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 313 (5786), 499-502
- https://doi.org/10.1126/science.1126940
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.Keywords
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