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Active Transmission Channels and Universal Conductance Fluctuations
Open accessAbstract
The transport through a segment of a disordered system is determined by the eigenvalues of a large random matrix. The effectively independent active transmission channels are associated with these eigenvalues which are closest to unity. A decreasing number of those survives when the system's length increases. They determine the conductance and its fluctuations, which are found to be independent, within broad limits, of the size, disorder and nature of the system. This universality is due to the strong correlations in the spectra of large random matrices, providing a new insight on and generalizing the extremely interesting recent results of Altschuler, Lee and Stone.
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Citations
Cites
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Universal Conductance Fluctuations in Metals
Lee, P. A., & Stone, A. D. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.1622 · Cited by 1,369
Cited by
Random-matrix theory of quantum transport
Beenakker, C. W. J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.731 · Cited by 2,551
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Controlling waves in space and time for imaging and focusing in complex media
Mosk, A. P., Lagendijk, A., Lerosey, G., & Fink, M. (2012) · Nature Photonics · doi:10.1038/nphoton.2012.88 · Cited by 1,536
Aharonov-Bohm effect in normal metal quantum coherence and transport
Washburn, S., & Webb, R. A. (1986) · Advances in Physics · doi:10.1080/00018738600101921 · Cited by 810
Electrical transport in open and closed systems
Landauer, R. (1987) · Zeitschrift f�r Physik B Condensed Matter · doi:10.1007/bf01304229 · Cited by 478
Metadata
- Authors
- Imry, Y.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1986-03-01
- Volume
- 1
- Issue
- 5
- Pages
- 249-256
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2024646391
- Cited by
- 463
- References
- 2
- FWCI
- 30.70
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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