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Maximum Metallic Resistance in Thin Wires
Abstract
It is argued that electronic states should be localized in any wire whose impurity resistance is greater than about 10 k\ensuremath{\Omega}. At sufficiently low temperatures this will lead to a ${T}^{\ensuremath{-}2}$ increase in resistance because one-dimensional phonons or excited electrons are needed to cause transitions between localized states. An estimate is made of the temperature needed to observe this effect.
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Citations
Cited by
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
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
Absence 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
Magnetization of mesoscopic copper rings: Evidence for persistent currents
Lévy, L. P., Dolan, G., Dunsmuir, J., & Bouchiat, H. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2074 · Cited by 992
Metadata
- Authors
- Thouless, D. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1977-10-31
- Volume
- 39
- Issue
- 18
- Pages
- 1167-1169
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2028614106
- Cited by
- 1,092
- References
- 0
- FWCI
- 10.97
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Maximum Metallic Resistance in Thin Wires. https://app.cochat.ai/papers/10.1103/physrevlett.39.1167
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- Thouless, D. J. (1977). Maximum Metallic Resistance in Thin Wires. Physical Review Letters. https://doi.org/10.1103/physrevlett.39.1167
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