The DOI matches its Crossref record; 158 of the 158 references it cites were found in a registry or an index.
The Hubbard Model
Open accessAbstract
The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems and serves as the paradigmatic model of the field. Despite its simplicity, it exhibits a strikingly rich phenomenology reminiscent of that observed in quantum materials. Nevertheless, much of its phase diagram remains controversial. Here, we review a subset of what is known about the Hubbard model based on exact results or controlled approximate solutions in various limits, for which there is a suitable small parameter. Our primary focus is on the ground state properties of the system on various lattices in two spatial dimensions, although both lower and higher dimensions are discussed as well. Finally, we highlight some of the important outstanding open questions.
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Citations
Cites
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Cited by
Coexistence of superconductivity with partially filled stripes in the Hubbard model
Xu, H., Chung, C.-M., Qin, M., Schollwöck, U., White, S. R., & Zhang, S. (2024) · Science · doi:10.1126/science.adh7691 · Cited by 144
“Thisquestionhasbeendebatedsince shortlyafterthesematerialsweredis-covered ( 1 – 10 ).”
Stripe order enhanced superconductivity in the Hubbard model
Jiang, H.-C., & Kivelson, S. A. (2022) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2109406119 · Cited by 60
Self-citationEmergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice t − J Model
Lu, X., Chen, F., Zhu, W., Sheng, D. N., & Gong, S.-S. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.066002 · Cited by 49
Superconducting valence bond fluid in lightly doped eight-leg t − J cylinders
Jiang, H.-C., Kivelson, S. A., & Lee, D.-H. (2023) · Physical Review B · doi:10.1103/physrevb.108.054505 · Cited by 27
Self-citationSpiers Memorial Lecture: Quantum chemistry, classical heuristics, and quantum advantage
Chan, G. K.-L. (2024) · Faraday Discussions · doi:10.1039/d4fd00141a · Cited by 20
Metadata
- Authors
- Arovas, D. P., Berg, E., Kivelson, S. A., & Raghu, S.
- Venue
- Annual Review of Condensed Matter Physics
- Publisher
- Annual Reviews
- Published
- 2022-03-10
- Volume
- 13
- Issue
- 1
- Pages
- 239-274
- ISSN
- 1947-5454 (ISSN-L)
- 1947-5462
- OpenAlex
- W3217769656
- Cited by
- 441
- References
- 158
- FWCI
- 2.16
- Type
- journal article
- Language
- en
- Open access
- green
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- Arovas, D. P., Berg, E., Kivelson, S. A., & Raghu, S. (2022). The Hubbard Model. Annual Review of Condensed Matter Physics. https://doi.org/10.1146/annurev-conmatphys-031620-102024
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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