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Generalized many-channel conductance formula with application to small rings
Abstract
The conductance of a sample scattering elastically and coupled to leads with many channels is derived. We assume that all the incident channels on one side of the sample are fed from the same chemical potential. The transmitted and reflected streams are determined by the incident streams through the multichannel scattering properties of the sample. We do not assume that the channels equilibrate with each other. Our result differs from those given earlier by other authors, except for that of Azbel [J. Phys. C 14, L225 (1981)], which is confirmed. We point out that a similar result is obtained for the conductance in a single channel at a temperature above zero. As an application, we obtain the dependence on channel number N of the contributions to the conductance of a small ring, periodic in the Aharonov-Bohm flux through it. Terms whose period is h/e as well as those with period h/2e vary with N as 1/N.
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Citations
Cited by
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Büttiker, M. (1988) · Physical Review B · doi:10.1103/physrevb.38.9375 · Cited by 1,555
Self-citationUniversal optical conductance of graphite.
Kuzmenko, A. B., van Heumen, E., Carbone, F., & van der Marel, D. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.117401 · Cited by 1,026
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Washburn, S., & Webb, R. A. (1986) · Advances in Physics · doi:10.1080/00018738600101921 · Cited by 810
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Büttiker, M. (1986) · Physical Review B · doi:10.1103/physrevb.33.3020 · Cited by 710
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Metadata
- Authors
- Büttiker, M., Imry, Y., Landauer, R., & Pinhas, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1985-05-15
- Volume
- 31
- Issue
- 10
- Pages
- 6207-6215
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2089161750
- Cited by
- 3,279
- References
- 0
- FWCI
- 28.85
- Type
- journal article
- Language
- en
- Open access
- closed
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- Büttiker, M., Imry, Y., Landauer, R., & Pinhas, S. (1985). Generalized many-channel conductance formula with application to small rings. Physical Review B. https://doi.org/10.1103/physrevb.31.6207
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