The DOI matches its Crossref record; 204 of the 204 references it cites were found in a registry or an index.
Localization: theory and experiment
Abstract
The transport properties of disordered solids have been the subject of much work since at least the 1950s, but with a new burst of activity during the 1980s which has survived up to the present day. There have been numerous reviews of a more or less specialized nature. The present review aims to fill the niche for a non-specialized review of this very active area of research. The basic concepts behind the theory are introduced with more detailed sections covering experimental results, one-dimensional localization, scaling theory, weak localization, magnetic field effects and fluctuations.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Klitzing, K. V., Dorda, G., & Pepper, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.494 · Cited by 7,119
Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
Abrahams, E., Anderson, P. W., Licciardello, D. C., & Ramakrishnan, T. V. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.673 · Cited by 6,134
Lee, P. A., & Ramakrishnan, T. V. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.287 · Cited by 6,110
Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
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
(2012) · The Electron Glass · doi:10.1017/cbo9780511978999.002 · Cited by 3,258
Electrical resistance of disordered one-dimensional lattices
Landauer, R. (1970) · Philosophical Magazine · doi:10.1080/14786437008238472 · Cited by 3,054
Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
Hikami, S., Larkin, A. I., & Nagaoka, Y. (1980) · Progress of Theoretical Physics · doi:10.1143/ptp.63.707 · Cited by 2,789
Cited by
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
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Robust optical delay lines with topological protection
Hafezi, M., Demler, E. A., Lukin, M. D., & Taylor, J. M. (2011) · Nature Physics · doi:10.1038/nphys2063 · Cited by 1,466
Belitz, D., & Kirkpatrick, T. R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.261 · Cited by 991
Quantum walks: a comprehensive review
Venegas-Andraca, S. E. (2012) · Quantum Information Processing · doi:10.1007/s11128-012-0432-5 · Cited by 934
Metadata
- Authors
- Kramer, B., & MacKinnon, A.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 1993-12-01
- Volume
- 56
- Issue
- 12
- Pages
- 1469-1564
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2085342527
- Cited by
- 1,926
- References
- 204
- FWCI
- 16.20
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Localization: theory and experiment. https://app.cochat.ai/papers/10.1088/0034-4885/56/12/001
- The paper
- Kramer, B., & MacKinnon, A. (1993). Localization: theory and experiment. Reports on Progress in Physics. https://doi.org/10.1088/0034-4885/56/12/001
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
