The DOI matches its Crossref record.
Simple three-state model with infinitely many phases
Abstract
A nearest-neighbor three-state model is introduced that has chiral interactions and exhibits spatially modulated order. A Migdal-Kadanoff renormalization group for this model is constructed and analyzed for general dimensionality $d$. This renormalization group is exact when applied to the model on certain hierarchical or fractal lattices. The resulting phase diagrams are of remarkable complexity: They exhibit an infinite number of distinct ordered phases, each identified by $q$, the principle wave number of the modulations in the local order. All ordered phases are commensurate with the lattice structure, and for sufficiently large $d$ there is apparently a phase for every rational fraction $q$.
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
Cited by
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
Keesling, A., Omran, A., Levine, H., Bernien, H., Pichler, H., Choi, S., Samajdar, R., Schwartz, S., Silvi, P., Sachdev, S., et al. (2019) · Nature · doi:10.1038/s41586-019-1070-1 · Cited by 534
Au-Yang, H., McCoy, B. M., Perk, J. H. H., Tang, S., & Yan, M.-L. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90065-x · Cited by 270
Commensurate melting, domain walls, and dislocations
Huse, D. A., & Fisher, M. E. (1984) · Physical Review B · doi:10.1103/physrevb.29.239 · Cited by 255
Self-citation
Metadata
- Authors
- Huse, D. A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1981-11-01
- Volume
- 24
- Issue
- 9
- Pages
- 5180-5194
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W1991290870
- Cited by
- 161
- References
- 0
- FWCI
- 7.33
- 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: Simple three-state model with infinitely many phases. https://app.cochat.ai/papers/10.1103/physrevb.24.5180
- The paper
- Huse, D. A. (1981). Simple three-state model with infinitely many phases. Physical Review B. https://doi.org/10.1103/physrevb.24.5180
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.
