The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Large-nlimit of the Hubbard-Heisenberg model
Abstract
To gain insight into the behavior of the Hubbard model, we define a $\mathrm{SU}(n)$ invariant generalization of the Hubbard-Heisenberg model and, in the large-$n$ limit, solve it in one dimension and in two dimensions on a square lattice. In one dimension the ground state is completely dimerized near half filling. We show that this behavior agrees with a renormalization-group solution of the one-dimensional $\mathrm{SU}(n)$ Hubbard model. In two spatial dimensions we find several different ground states depending on the size of the hopping term $t$, the doping $\ensuremath{\delta}$, and the biquadratic spin interaction $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{J}$. In particular, the undimerized "flux" or "$s+id$" phase is the ground state at half filling for sufficiently large $t$ or $\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{J}$. We study the electronic and spin excitations of the various phases and comment on the relevance of the large-$n$ problem to the high-${T}_{c}$ superconductors.
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Cites
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Cited by
Impurity-induced states in conventional and unconventional superconductors
Balatsky, A. V., Vekhter, I., & Zhu, J.-X. (2006) · Reviews of Modern Physics · doi:10.1103/revmodphys.78.373 · Cited by 1,295
Chakravarty, S., Laughlin, R. B., Morr, D. K., & Nayak, C. (2001) · Physical Review B · doi:10.1103/physrevb.63.094503 · Cited by 1,123
Chen, X., Gu, Z.-C., & Wen, X.-G. (2010) · Physical Review B · doi:10.1103/physrevb.82.155138 · Cited by 891
Gauge theory of the normal state of high-Tcsuperconductors
Lee, P. A., & Nagaosa, N. (1992) · Physical Review B · doi:10.1103/physrevb.46.5621 · Cited by 631
Arovas, D. P., Berg, E., Kivelson, S. A., & Raghu, S. (2022) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031620-102024 · Cited by 441
Metadata
- Authors
- Marston, J. B., & Affleck, I.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1989-06-01
- Volume
- 39
- Issue
- 16
- Pages
- 11538-11558
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2026442798
- Cited by
- 498
- References
- 24
- FWCI
- 10.84
- Type
- journal article
- Language
- en
- Open access
- closed
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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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