The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Quantum oscillations in one-dimensional normal-metal rings
Abstract
We investigate the connection between two recent investigations on flux-periodic effects in one-dimensional normal-metal rings with inelastic diffusion length larger than the size of the ring. B\"uttiker, Imry, and Landauer have pointed out that closed rings, driven by an external flux, act like superconducting rings with a Josephson junction, except that $2e$ is replaced by $e$. Gefen, Imry, and Azbel considered such a ring connected to current leads and found a flux-periodic electric resistance. We establish a connection between these Aharonov-Bohm-like effects by demonstrating that the transmission probability of the ring, which determines the electric resistance, exhibits resonances near the energies of the electronic states of the closed ring. It is the flux dependence of the resonances which gives rise to the strong oscillatory behavior of the electric resistance.
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Citations
Cites
Electrical resistance of disordered one-dimensional lattices
Landauer, R. (1970) · Philosophical Magazine · doi:10.1080/14786437008238472 · Cited by 3,054
Josephson behavior in small normal one-dimensional rings
Büttiker, M., Imry, Y., & Landauer, R. (1983) · Physics Letters A · doi:10.1016/0375-9601(83)90011-7 · Cited by 1,319
Self-citationBüttiker, M., & Landauer, R. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1739 · Cited by 1,119
Self-citationPhysics of resonant tunneling. The one-dimensional double-barrier case
Riccò, B., & Azbel, M. Y. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.29.1970 · Cited by 732
Self-citationLarmor precession and the traversal time for tunneling
Büttiker, M. (1983) · Physical Review B · doi:10.1103/physrevb.27.6178 · Cited by 700
Self-citationQuantum Oscillations and the Aharonov-Bohm Effect for Parallel Resistors
Gefen, Y., Imry, Y., & Azbel, M. Y. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.129 · Cited by 443
Self-citationDefinition and measurement of the electrical and thermal resistances
Engquist, H. L., & Anderson, P. W. (1981) · Physical Review B · doi:10.1103/physrevb.24.1151 · Cited by 277
Resonance tunneling and localization spectroscopy
Azbel, M. Y. (1983) · Solid State Communications · doi:10.1016/0038-1098(83)90419-2 · Cited by 150
Self-citation
Cited by
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
Self-citationLandauer formula for the current through an interacting electron region
Meir, Y., & Wingreen, N. S. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.2512 · Cited by 3,006
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
Self-citationAbsence of backscattering in the quantum Hall effect in multiprobe conductors
Büttiker, M. (1988) · Physical Review B · doi:10.1103/physrevb.38.9375 · Cited by 1,555
Self-citationObservation ofheAharonov-Bohm Oscillations in Normal-Metal Rings
Webb, R. A., Washburn, S., Umbach, C. P., & Laibowitz, R. B. (1985) · Physical Review Letters · doi:10.1103/physrevlett.54.2696 · Cited by 1,012
Metadata
- Authors
- Büttiker, M., Imry, Y., & Azbel, M. Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1984-10-01
- Volume
- 30
- Issue
- 4
- Pages
- 1982-1989
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W1967763788
- Cited by
- 454
- References
- 8
- FWCI
- 8.43
- Type
- journal article
- Language
- en
- Open access
- closed
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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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