The DOI matches its Crossref record.
Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice
Abstract
Using quantum Monte Carlo and finite-size scaling for the Hubbard model, we find evidence of a zero-temperature transition between the nonmagnetic semi-metal and an antiferromagnetic insulator in the 2D honeycomb lattice for a nontrivial value of U / t = 4.5 ± 0.5. The corresponding transition in Hartree-Fock mean field is at U / t = 2.23, which indicates the importance of quantum fluctuations. This represents the first example of Mott-Hubbard transition in a 2D bipartite lattice. Similar transitions are predicted for special lattices in higher dimensions, in particular for the 3D diamond 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
Cited by
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“(225)Quantum Monte Carlo al ulations (Paiva et al., 2005;Sorella and Tosatti, 1992), raise however its value to: UAF (0) ≃ 5t .”
BackgroundInfluentialVafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
Electronic Structure of Atomically Precise Graphene Nanoribbons
Ruffieux, P., Cai, J., Plumb, N. C., Patthey, L., Prezzi, D., Ferretti, A., Molinari, E., Feng, X., Müllen, K., Pignedoli, C. A., et al. (2012) · ACS Nano · doi:10.1021/nn3021376 · Cited by 494
Artificial honeycomb lattices for electrons, atoms and photons
Polini, M., Guinea, F., Lewenstein, M., Manoharan, H. C., & Pellegrini, V. (2013) · Nature Nanotechnology · doi:10.1038/nnano.2013.161 · Cited by 453
Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
Sorella, S., Otsuka, Y., & Yunoki, S. (2012) · Scientific Reports · doi:10.1038/srep00992 · Cited by 329
Self-citation
Metadata
- Authors
- Sorella, S., & Tosatti, E.
- Venue
- Europhysics Letters (EPL)
- Publisher
- IOP Publishing
- Published
- 1992-08-15
- Volume
- 19
- Issue
- 8
- Pages
- 699-704
- ISSN
- 0295-5075 (ISSN-L)
- 1286-4854
- OpenAlex
- W2085914164
- Cited by
- 392
- References
- 0
- FWCI
- 1.09
- 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: Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice. https://app.cochat.ai/papers/10.1209/0295-5075/19/8/007
- The paper
- Sorella, S., & Tosatti, E. (1992). Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice. Europhysics Letters (EPL). https://doi.org/10.1209/0295-5075/19/8/007
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.
