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Conductivity of the disordered linear chain
Abstract
The authors develop a fast algorithm for evaluating the Kubo formula for the conductivity of a linear chain, and use it to study the dependence of the conductivity as a function of imaginary frequency. The results for the Anderson model with different degrees of disorder and different energies can all be scaled onto the same curve, which is of the form expected from the theory of localised states. The universal curve obtained provides a simple connection between tight-binding model results and the conductivity which can be calculated for an electron in a white noise potential. Similar, but not identical, results are obtained for tight-binding chains with a Cauchy distribution of site energies.
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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
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
Role of quantum coherence in series resistors
Büttiker, M. (1986) · Physical Review B · doi:10.1103/physrevb.33.3020 · Cited by 710
Magnetoresistance Fluctuations in Mesoscopic Wires and Rings
Stone, A. D. (1985) · Physical Review Letters · doi:10.1103/physrevlett.54.2692 · Cited by 375
The ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Metadata
- Authors
- Thouless, D. J., & Kirkpatrick, S.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1981-01-30
- Volume
- 14
- Issue
- 3
- Pages
- 235-245
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2005544710
- Cited by
- 267
- References
- 0
- FWCI
- 6.60
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Conductivity of the disordered linear chain. https://app.cochat.ai/papers/10.1088/0022-3719/14/3/007
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- Thouless, D. J., & Kirkpatrick, S. (1981). Conductivity of the disordered linear chain. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/14/3/007
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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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