Physics Reports, volume 13, issue 3, pages 93-142
Electrons in disordered systems and the theory of localization
Publication type: Journal Article
Publication date: 1974-10-01
General Physics and Astronomy
Abstract
This paper gives a review of the theory of noninteracting electrons in a static disordered lattice. The introductory section gives a brief survey of the main aspects of the problem and of its relevance to the physics of amorphous and disordered crystalline solids. The second section is concerned with the methods which can be used to find the density of states, both in the main part of the band, where the coherent potential approximation can be used, and in the tail of the band, where other methods must be used. The third section gives a survey of the theory of localization. There is a detailed discussion of the qualitative differences between localized and extended states which enable a sharp distinction to be made between them. There is a brief survey of the theory of one-dimensional systems and of the percolation problem, and then the Anderson model and its self-consistent modification are discussed. There is also a discussion of numerical work on the Anderson model and the use of path-integral methods. In the final section a tentative theory is proposed to combine various features of the problem which have been revealed by some of the different approaches.
Top-30
Citations by journals
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Physical Review B
242 publications, 19.69%
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Physical Review Letters
86 publications, 7%
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Journal of Physics C Solid State Physics
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Journal of Chemical Physics
45 publications, 3.66%
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Journal of Physics Condensed Matter
38 publications, 3.09%
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Physical Review A
31 publications, 2.52%
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Physical Review E
29 publications, 2.36%
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European Physical Journal B
25 publications, 2.03%
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Solid State Communications
20 publications, 1.63%
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Physics Letters, Section A: General, Atomic and Solid State Physics
18 publications, 1.46%
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Journal of Physical Chemistry B
17 publications, 1.38%
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Europhysics Letters
16 publications, 1.3%
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Journal of Physics A General Physics
15 publications, 1.22%
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Journal of Physical Chemistry A
12 publications, 0.98%
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Journal of Physics A: Mathematical and Theoretical
12 publications, 0.98%
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Journal of the Physical Society of Japan
11 publications, 0.9%
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New Journal of Physics
11 publications, 0.9%
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Physical Review Research
10 publications, 0.81%
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Physics Reports
10 publications, 0.81%
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Physica A: Statistical Mechanics and its Applications
10 publications, 0.81%
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Scientific Reports
9 publications, 0.73%
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Philosophical Magazine B
9 publications, 0.73%
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Nuclear Physics B
8 publications, 0.65%
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Journal of Non-Crystalline Solids
8 publications, 0.65%
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Reviews of Modern Physics
8 publications, 0.65%
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Springer Series in Solid-State Sciences
8 publications, 0.65%
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Chemical Physics Letters
7 publications, 0.57%
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Physica B: Condensed Matter
7 publications, 0.57%
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International Journal of Modern Physics B
7 publications, 0.57%
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Citations by publishers
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American Physical Society (APS)
420 publications, 34.17%
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Elsevier
178 publications, 14.48%
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IOP Publishing
169 publications, 13.75%
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Springer Nature
95 publications, 7.73%
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American Institute of Physics (AIP)
63 publications, 5.13%
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American Chemical Society (ACS)
46 publications, 3.74%
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Wiley
29 publications, 2.36%
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Taylor & Francis
18 publications, 1.46%
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World Scientific
11 publications, 0.9%
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Physical Society of Japan
11 publications, 0.9%
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Royal Society of Chemistry (RSC)
11 publications, 0.9%
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Pleiades Publishing
11 publications, 0.9%
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Multidisciplinary Digital Publishing Institute (MDPI)
8 publications, 0.65%
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The Royal Society
5 publications, 0.41%
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Proceedings of the National Academy of Sciences (PNAS)
5 publications, 0.41%
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Optical Society of America
4 publications, 0.33%
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Uspekhi Fizicheskikh Nauk Journal
3 publications, 0.24%
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Materials Research Society
3 publications, 0.24%
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IEEE
3 publications, 0.24%
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American Association for the Advancement of Science (AAAS)
3 publications, 0.24%
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Chinese Physical Society
3 publications, 0.24%
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Acoustical Society of America (ASA)
2 publications, 0.16%
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EDP Sciences
2 publications, 0.16%
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Society for Industrial and Applied Mathematics (SIAM)
2 publications, 0.16%
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Frontiers Media S.A.
2 publications, 0.16%
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Cambridge University Press
2 publications, 0.16%
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Oxford University Press
2 publications, 0.16%
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Walter de Gruyter
2 publications, 0.16%
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Stichting SciPost
2 publications, 0.16%
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- We do not take into account publications without a DOI.
- Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
- Statistics recalculated weekly.
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Thouless D. J. Electrons in disordered systems and the theory of localization // Physics Reports. 1974. Vol. 13. No. 3. pp. 93-142.
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Thouless D. J. Electrons in disordered systems and the theory of localization // Physics Reports. 1974. Vol. 13. No. 3. pp. 93-142.
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TY - JOUR
DO - 10.1016/0370-1573(74)90029-5
UR - https://doi.org/10.1016/0370-1573(74)90029-5
TI - Electrons in disordered systems and the theory of localization
T2 - Physics Reports
AU - Thouless, D. J.
PY - 1974
DA - 1974/10/01
PB - Elsevier
SP - 93-142
IS - 3
VL - 13
SN - 0370-1573
ER -
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@article{1974_Thouless,
author = {D. J. Thouless},
title = {Electrons in disordered systems and the theory of localization},
journal = {Physics Reports},
year = {1974},
volume = {13},
publisher = {Elsevier},
month = {oct},
url = {https://doi.org/10.1016/0370-1573(74)90029-5},
number = {3},
pages = {93--142},
doi = {10.1016/0370-1573(74)90029-5}
}
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Thouless, D. J.. “Electrons in disordered systems and the theory of localization.” Physics Reports, vol. 13, no. 3, Oct. 1974, pp. 93-142. https://doi.org/10.1016/0370-1573(74)90029-5.