Violation of Kirchhoff's Laws for a Coherent RC Circuit | Zendy

Julien Gabelli | Zendy; Gwendal Fève | Zendy; JeanMarc Berroir | Zendy; Bernard Plaçais | Zendy; A. Cavanna | Zendy; B. Etienne | Zendy; Yong Jin | Zendy; D. C. Glattli | Zendy

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Violation of Kirchhoff's Laws for a Coherent RC Circuit

Author(s) -

Julien Gabelli,

Gwendal Fève,

JeanMarc Berroir,

Bernard Plaçais,

A. Cavanna,

B. Etienne,

Yong Jin,

D. C. Glattli

Publication year - 2006

Publication title -

science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 12.556

H-Index - 1186

eISSN - 1095-9203

pISSN - 0036-8075

DOI - 10.1126/science.1126940

Subject(s) - mesoscopic physics , resistor , capacitor , electrical impedance , capacitance , physics , conductor , quantum , equivalent series resistance , quantum mechanics , condensed matter physics , voltage , mathematics , geometry , electrode

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.

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