The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
Open accessAbstract
A spin liquid is a novel quantum state of matter with no conventional order parameter where a finite charge gap exists even though the band theory would predict metallic behavior. Finding a stable spin liquid in two or higher spatial dimensions is one of the most challenging and debated issues in condensed matter physics. Very recently, it has been reported that a model of graphene, i.e., the Hubbard model on the honeycomb lattice, can show a spin liquid ground state in a wide region of the phase diagram, between a semi-metal (SM) and an antiferromagnetic insulator (AFMI). Here, by performing numerically exact quantum Monte Carlo simulations, we extend the previous study to much larger clusters (containing up to 2592 sites), and find, if any, a very weak evidence of this spin liquid region. Instead, our calculations strongly indicate a direct and continuous quantum phase transition between SM and AFMI.
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
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
Anyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Spin liquids in frustrated magnets
Balents, L. (2010) · Nature · doi:10.1038/nature08917 · Cited by 4,316
Two theorems on the Hubbard model
Lieb, E. H. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.1201 · Cited by 2,212
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
Yan, S., Huse, D. A., & White, S. R. (2011) · Science · doi:10.1126/science.1201080 · Cited by 1,241
Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice
Shimizu, Y., Miyagawa, K., Kanoda, K., Maesato, M., & Saito, G. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.107001 · Cited by 1,172
Two-dimensional Hubbard model: Numerical simulation study
Hirsch, J. E. (1985) · Physical Review B · doi:10.1103/physrevb.31.4403 · Cited by 1,080
Critical exponents of theN-vector model
Guida, R., & Zinn-Justin, J. (1998) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/31/40/006 · Cited by 869
Quantum spin liquid emerging in two-dimensional correlated Dirac fermions
Meng, Z. Y., Lang, T. C., Wessel, S., Assaad, F. F., & Muramatsu, A. (2010) · Nature · doi:10.1038/nature08942 · Cited by 591
Marshall, W. (1955) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1955.0200 · Cited by 444
Cited by
Vafek, O., & Vishwanath, A. (2014) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031113-133841 · Cited by 614
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
Metadata
- Authors
- Sorella, S., Otsuka, Y., & Yunoki, S.
- Venue
- Scientific Reports
- Published
- 2012-12-18
- Volume
- 2
- Issue
- 1
- Pages
- 992-992
- ISSN
- 2045-2322 (ISSN-L)
- OpenAlex
- W2001445685
- Cited by
- 329
- References
- 22
- FWCI
- 23.46
- Type
- journal article
- Language
- en
- Open access
- gold
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: Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice. https://app.cochat.ai/papers/10.1038/srep00992
- The paper
- Sorella, S., Otsuka, Y., & Yunoki, S. (2012). Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice. Scientific Reports. https://doi.org/10.1038/srep00992
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.