The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Electron self-trapping in a discrete two-dimensional lattice
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Electron dipole shifts do have some tiny effect on nuclear positions via charge movements and Mossbauer recoil [90,91].”
From Consciousness in the universe (2014) · cites this paper as [91]
In the citing paper
“This shift may be accounted for by electronic cloud dipoles with Mossbauer nuclear recoil and charge effects [90,91].”
From Consciousness in the universe (2014) · cites this paper as [91]
Citations
Cites
1 retracted
Gate-induced superconductivity in a solution-processed organic polymer film
Schön, J. H., Dodabalapur, A., Bao, Z., Kloc, C., Schenker, O., & Batlogg, B. J. (2001) · Nature · doi:10.1038/35065565 · Cited by 140
RetractedSuperconductivity at 39 K in magnesium diboride
Nagamatsu, J., Nakagawa, N., Muranaka, T., Zenitani, Y., & Akimitsu, J. (2001) · Nature · doi:10.1038/35065039 · Cited by 6,466
Self-Trapping of Optical Beams
Chiao, R. Y., Garmire, E., & Townes, C. H. (1964) · Physical Review Letters · doi:10.1103/physrevlett.13.479 · Cited by 2,140
Highly Conducting One-Dimensional Solids
Devreese, J. T., Evrard, R., & Doren, V. E. V. (1979) · Springer eBooks · doi:10.1007/978-1-4613-2895-7 · Cited by 1,247
Discrete self-focusing in nonlinear arrays of coupled waveguides
Christodoulides, D. N., & Joseph, R. I. (1988) · Optics Letters · doi:10.1364/ol.13.000794 · Cited by 1,181
Davydov, A. S. (1991) · Springer eBooks · doi:10.1007/978-94-011-3340-1 · Cited by 817
Davydov, A. S. (1985) · Mathematics and its applications. Soviet series · doi:10.1007/978-94-017-3025-9 · Cited by 696
Solitary excitons in one‐dimensional molecular chains
Davydov, A. S., & Kislukha, N. I. (1973) · physica status solidi (b) · doi:10.1002/pssb.2220590212 · Cited by 517
Blow-up in Nonlinear Schroedinger Equations-I A General Review
Rasmussen, J. J., & Rypdal, K. (1986) · Physica Scripta · doi:10.1088/0031-8949/33/6/001 · Cited by 447
Long-Lived Amide I Vibrational Modes in Myoglobin
Xie, A., van der Meer, L., Hoff, W., & Austin, R. H. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5435 · Cited by 208
Research works printed but not linked: 7
- Davydov, 1977, Ukr. Fiz. Zh., 22, 881
- Brizhik, 2001, Ukr. Fiz. Zh., 46, 503
- E.I. Rashba, in: E.I. Rashba, M.D. Sturge (Eds.), Excitons, Nauka, Moscow, 1985, pp. 385–423.
- M. Remoissenet, B. Michaux, in: G. Maugin (Ed.), Electrical Transmission Lines and Soliton Propagation in Physical Systems, Longman, New York, 1990.
- Vakhitov, 1973, Radiofizika, 16, 1020
- Kuznetsov, 1990, Plasma Phys., 16, 901
- Davydova, 1995, Ukr. Fiz. Zh., 40, 487
Cited by
Hameroff, S., & Penrose, R. (2014) · Physics of Life Reviews · doi:10.1016/j.plrev.2013.08.002 · Cited by 983
“As described above, these are presumed to occur primarily in dendritic–somatic microtubules during integration phases in integrate-and-fire brain neurons, resulting in sequences of Orch OR conscious moments occurring within brain physiology, and able to regulate neuronal firings and behavior.”
BackgroundSolutions for a quasilinear Schrödinger equation: a dual approach
Colin, M., & Jeanjean, L. (2003) · Nonlinear Analysis · doi:10.1016/j.na.2003.09.008 · Cited by 518
Soliton solutions for a class of quasilinear Schrödinger equations with a parameter
Alves, C. O., Wang, Y., & Shen, Y. (2015) · Journal of Differential Equations · doi:10.1016/j.jde.2015.02.030 · Cited by 103
Static solutions of aD-dimensional modified nonlinear Schr dinger equation
Brizhik, L. S., Eremko, A. A., Piette, B. M. A. G., & ZAKRZEWSKI, W. J. (2003) · Nonlinearity · doi:10.1088/0951-7715/16/4/317 · Cited by 90
Self-citationUniqueness of the ground state solutions of quasilinear Schrödinger equations
Adachi, S., & Watanabe, T. (2011) · Nonlinear Analysis · doi:10.1016/j.na.2011.09.015 · Cited by 83
Metadata
- Authors
- Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. J.
- Affiliations
- Bogolyubov Institute for Theoretical Physics (UA)
- Durham University (GB)
- Corresponding author
- Zakrzewski, W.J.
- Venue
- Physica D Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 2001-11
- Volume
- 159
- Issue
- 1-2
- Pages
- 71-90
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2059852128
- Cited by
- 66
- References
- 24
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 2 · 2023: 1 · 2022: 4 · 2021: 3 · 2020: 6 · 2019: 4 · 2018: 3 · 2017: 1 · 2016: 2 · 2015: 3 · 2014: 4 · 2013: 7 · 2012: 4
- FWCI
- 2.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
- Locations
- Physica D Nonlinear Phenomena (publishedVersion)
- Funders
- Royal Society
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Waves and Solitons
- Keywords
- electron self-trapping, electron-phonon coupling, two-dimensional lattice, soliton-like solutions, small polarons, electron localization, critical coupling constant, discrete lattices
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.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Electron self-trapping in a discrete two-dimensional lattice. https://app.cochat.ai/papers/10.1016/s0167-2789(01)00332-3
- The paper
- Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. J. (2001). Electron self-trapping in a discrete two-dimensional lattice. Physica D Nonlinear Phenomena. https://doi.org/10.1016/s0167-2789(01)00332-3
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.
