The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Violation of Kirchhoff's Laws for a Coherent RC Circuit
Open accessAbstract
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.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Electronic Transport in Mesoscopic Systems
Datta, S. (1995) · doi:10.1017/cbo9780511805776 · Cited by 7,704
Generalized many-channel conductance formula with application to small rings
Büttiker, M., Imry, Y., Landauer, R., & Pinhas, S. (1985) · Physical Review B · doi:10.1103/physrevb.31.6207 · Cited by 3,279
Electrical resistance of disordered one-dimensional lattices
Landauer, R. (1970) · Philosophical Magazine · doi:10.1080/14786437008238472 · Cited by 3,054
Four-Terminal Phase-Coherent Conductance
Büttiker, M. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.1761 · Cited by 2,975
Shot noise in mesoscopic conductors
Blanter, Y. M., & Büttiker, M. (2000) · Physics Reports · doi:10.1016/s0370-1573(99)00123-4 · Cited by 2,560
Single Charge Tunneling: Coulomb Blockade Phenomena In Nanostructures
(1992) · NATO ASI Series · doi:10.1007/978-1-4757-2166-9 · Cited by 2,076
Shot Noise in Mesoscopic Conductors
Blanter, Y. M., & Büttiker, Μ. (2000) · Archive ouverte UNIGE (University of Geneva) · Cited by 1,598
Introduction to Mesoscopic Physics
Imry, Y., & Tinkham, M. (1998) · Physics Today · doi:10.1063/1.882105 · Cited by 1,154
N-electron ground state energies of a quantum dot in magnetic field
Ashoori, R. C., Stormer, H. L., Weiner, J. S., Pfeiffer, L. N., Baldwin, K. W., & West, K. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.613 · Cited by 580
Dynamic conductance and the scattering matrix of small conductors
Büttiker, M., Prêtre, A., & Thomas, H. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.4114 · Cited by 429
Metadata
- Authors
- Gabelli, J., Fève, G., Berroir, J.-M., Plaçais, B., Cavanna, A., Etienne, B., Jin, Y., & Glattli, D. C.
- Venue
- Science
- Published
- 2006-07-28
- Volume
- 313
- Issue
- 5786
- Pages
- 499-502
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1966039918
- Cited by
- 347
- References
- 18
- FWCI
- 11.60
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Violation of Kirchhoff's Laws for a Coherent RC Circuit. https://app.cochat.ai/papers/10.1126/science.1126940
- The paper
- Gabelli, J., Fève, G., Berroir, J.-M., Plaçais, B., Cavanna, A., Etienne, B., Jin, Y., & Glattli, D. C. (2006). Violation of Kirchhoff's Laws for a Coherent RC Circuit. Science. https://doi.org/10.1126/science.1126940
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.