The DOI matches its Crossref record.
Ferromagnetism in the Hubbard model on line graphs and further considerations
Open accessAbstract
Let L(G) be the line graph of a graph G=(V,E). The Hubbard model on L(G) has ferromagnetic ground states with a saturated spin if the interaction is repulsive (U>0) and if the number of electrons N satisfies N>or=M. M= mod E mod + mod V mod -1 if G is bipartite and M= mod E mod + mod V mod otherwise. The author shows that the ferromagnetic ground state is unique if N=M. Further he gives a sufficient condition for the existence of other ground states if N>M. The results are valid also for a multi-band Hubbard model on a bipartite graph. In the case of a periodic lattice, the results are related to the existence of a flat energy band.
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
Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene
Lu, X., Stepanov, P., Yang, W., Xie, M., Aamir, M. A., Das, I., Urgell, C., Watanabe, K., Taniguchi, T., Zhang, G., et al. (2019) · Nature · doi:10.1038/s41586-019-1695-0 · Cited by 1,590
Ohgushi, K., Murakami, S., & Nagaosa, N. (2000) · Physical Review B · doi:10.1103/physrevb.62.r6065 · Cited by 667
Ferromagnetism in the Hubbard models with degenerate single-electron ground states
Tasaki, H. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1608 · Cited by 584
Superconductivity, superfluidity and quantum geometry in twisted multilayer systems
Törmä, P., Peotta, S., & Bernevig, B. A. (2022) · Nature Reviews Physics · doi:10.1038/s42254-022-00466-y · Cited by 319
Nearly flat band with Chern number C = 2 on the dice lattice
Wang, F., & Ran, Y. (2011) · Physical Review B · doi:10.1103/physrevb.84.241103 · Cited by 307
Metadata
- Authors
- Mielke, A.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1991-07-21
- Volume
- 24
- Issue
- 14
- Pages
- 3311-3321
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2079342988
- Cited by
- 491
- References
- 0
- FWCI
- 3.36
- 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: Ferromagnetism in the Hubbard model on line graphs and further considerations. https://app.cochat.ai/papers/10.1088/0305-4470/24/14/018
- The paper
- Mielke, A. (1991). Ferromagnetism in the Hubbard model on line graphs and further considerations. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/24/14/018
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.
