Violation of Kirchhoff's Laws for a Coherent RC Circuit

Details Violation of Kirchhoff's Laws for a Coherent RC Circuit Violation of Kirchhoff's Laws for a Coherent RC Circuit

2006-10-20

arxiv.org/abs/cond-mat/0610572v1

Science 313 (28/07/2006) p.499

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1126/science.1126940

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.

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