The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Equivalence of the Potts model or Whitney polynomial with an ice-type model
Open accessAbstract
The partition function of the Potts model (1952) on any lattice can readily be written as a Whitney polynomial (1932). Temperley and Lieb (Proc. R. Soc., vol.A322, p.251 of 1971) have used operator methods to show that, for a square lattice, this problem is in turn equivalent to a staggered ice-type model. Here the authors rederive this equivalence by a graphical method, which they believe to be simpler, and which applies to any planar lattice. For instance, they also show that the Potts model on the triangular or honeycomb lattice is equivalent to an ice-type model on a Kagome lattice.
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
Some generalized order-disorder transformations
Potts, R. B. (1952) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100027419 · Cited by 2,122
Fortuin, C. M., & Kasteleyn, P. W. (1972) · Physica · doi:10.1016/0031-8914(72)90045-6 · Cited by 1,741
Temperley, H. N. V., & Lieb, E. H. (1971) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1971.0067 · Cited by 1,000
Residual Entropy of Square Ice
Lieb, E. H. (1967) · Physical Review · doi:10.1103/physrev.162.162 · Cited by 770
Whitney, H. (1932) · The Annals of Mathematics · doi:10.2307/1968214 · Cited by 196
Statistics of Two-Dimensional Lattices with Many Components
Kihara, T., Midzuno, Y., & Shizume, T. (1954) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.9.681 · Cited by 145
Configurational studies of the Potts models
Domb, C. (1974) · Journal of Physics A Mathematical Nuclear and General · doi:10.1088/0305-4470/7/11/013 · Cited by 56
Cited by
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Self-citationPreroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains
den Nijs, M., & Rommelse, K. (1989) · Physical Review B · doi:10.1103/physrevb.40.4709 · Cited by 936
Recent advances in percolation theory and its applications
Saberi, A. A. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.03.003 · Cited by 438
Metadata
- Authors
- Baxter, R. J., Kelland, S. B., & Wu, F. Y.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1976-03
- Volume
- 9
- Issue
- 3
- Pages
- 397-406
- ISSN
- 0305-4470 (ISSN-L)
- OpenAlex
- W2037898865
- Cited by
- 255
- References
- 7
- FWCI
- 2.45
- Type
- journal article
- Language
- en
- Open access
- bronze
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: Equivalence of the Potts model or Whitney polynomial with an ice-type model. https://app.cochat.ai/papers/10.1088/0305-4470/9/3/009
- The paper
- Baxter, R. J., Kelland, S. B., & Wu, F. Y. (1976). Equivalence of the Potts model or Whitney polynomial with an ice-type model. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/9/3/009
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.
