The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Conductance determined by transmission: probes and quantised constriction resistance
Open accessAbstract
The domain of validity and the origin of different formulae relating conductance to transmissive behaviour is discussed. The large variety of possible measurement probes is emphasised. The quantised conductance of constrictions, studied in recent experiments, is treated. Theoretical discussions of that have stressed the supposedly unique role of G = (2 e 2 / h )Tr( tt † ) in this connection, regardless of the exact geometry or probe locations. This is shown to be incorrect, and a simple expression for the dependence of the 'quantised' conductance on the width of the wide region is given. We particularly emphasise the distinction between, on the one hand, experiments and discussions that are strictly limited to events at reservoirs and, on the other, those that have a concern with variations within the sample.
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Citations
Cites
Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction
Landauer, R. (1957) · IBM Journal of Research and Development · doi:10.1147/rd.13.0223 · Cited by 3,459
Self-citationGeneralized 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
Self-citationQuantized conductance of point contacts in a two-dimensional electron gas
van Wees, B. J., van Houten, H., Beenakker, C. W. J., Williamson, J. G., Kouwenhoven, L. P., van der Marel, D., & Foxon, C. T. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.848 · Cited by 3,161
One-dimensional transport and the quantisation of the ballistic resistance
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Spatial variation of currents and fields due to localized scatterers in metallic conduction
Landauer, R. (1988) · IBM Journal of Research and Development · doi:10.1147/rd.323.0306 · Cited by 1,042
Self-citationNew method for a scaling theory of localization
Anderson, P. W., Thouless, D. J., Abrahams, E., & Fisher, D. S. (1980) · Physical Review B · doi:10.1103/physrevb.22.3519 · Cited by 1,015
Symmetry of electrical conduction
Buttiker, M. (1988) · IBM Journal of Research and Development · doi:10.1147/rd.323.0317 · Cited by 952
Electrical transport in open and closed systems
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Self-citationWhat is measured when you measure a resistance?—The Landauer formula revisited
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Theory of Quantum Conduction through a Constriction
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Grieshaber, D., MacKenzie, R., Vörös, J., & Reimhult, E. (2008) · Sensors · doi:10.3390/s80314000 · Cited by 2,329
Carbon Nanotube Quantum Resistors
Frank, S., Poncharal, P., Wang, Z. L., & Heer, W. A. D. (1998) · Science · doi:10.1126/science.280.5370.1744 · Cited by 2,105
Electronic transport properties of conducting polymers and carbon nanotubes
Kaiser, A. B. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/1/201 · Cited by 434
Introduction to Mesoscopic Electron Transport
Kouwenhoven, L. P., Schön, G., & Sohn, L. L. (1997) · Mesoscopic Electron Transport · doi:10.1007/978-94-015-8839-3_1 · Cited by 399
Poncé, S., Li, W., Reichardt, S., & Giustino, F. (2020) · Reports on Progress in Physics · doi:10.1088/1361-6633/ab6a43 · Cited by 357
Metadata
- Authors
- Landauer, R.
- Venue
- Journal of Physics: Condensed Matter
- Publisher
- IOP Publishing
- Published
- 1989-10-30
- Volume
- 1
- Issue
- 43
- Pages
- 8099-8110
- ISSN
- 0953-8984 (ISSN-L)
- OpenAlex
- W2028453036
- Cited by
- 444
- References
- 22
- FWCI
- 11.62
- Type
- journal article
- Language
- en
- Open access
- bronze
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