The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Localization and the Mobility Edge in One-Dimensional Potentials with Correlated Disorder
Open accessAbstract
We show that a mobility edge exists in 1D random potentials in the presence of specific long-range correlations. Our approach is based on the relation between the binary correlator of a site potential and the localization length. We present an algorithm to numerically construct potentials with mobility edges at any given energy inside the allowed zone. Another way to generate such potentials is to use chaotic trajectories of nonlinear maps. Our numerical calculations for a few specific potentials demonstrate the presence of mobility edges in a 1D geometry.
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
Cited by
Anomalous localization in low-dimensional systems with correlated disorder
Izrailev, F. M., Krokhin, A. A., & Makarov, N. M. (2012) · Physics Reports · doi:10.1016/j.physrep.2011.11.002 · Cited by 274
Self-citationFrequency doubling of Bloch oscillations for interacting electrons in a static electric field
Dias, W. S., Nascimento, E. M., Lyra, M. L., & de Moura, F. A. B. F. (2007) · Physical Review B · doi:10.1103/physrevb.76.155124 · Cited by 72
Metadata
- Authors
- Izrailev, F. M., & Krokhin, A. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-05-17
- Volume
- 82
- Issue
- 20
- Pages
- 4062-4065
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2065817882
- Cited by
- 410
- References
- 1
- FWCI
- 19.86
- Type
- journal article
- Language
- en
- Open access
- green
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 and the Mobility Edge in One-Dimensional Potentials with Correlated Disorder. https://app.cochat.ai/papers/10.1103/physrevlett.82.4062
- The paper
- Izrailev, F. M., & Krokhin, A. A. (1999). Localization and the Mobility Edge in One-Dimensional Potentials with Correlated Disorder. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.4062
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.
