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Correlation of Electrons in a NarrowsBand
Abstract
The ground-state wave function for the electrons in a narrow $s$ band is investigated for arbitrary density of electrons and arbitrary strength of interaction. An approximation is proposed which limits all the calculations to counting certain types of configurations and attaching the proper weights. The expectation values of the one-particle and two-particle density matrix are computed for the ferromagnetic and for the non-ferromagnetic case. The ground-state energy is obtained under the assumption that only the intra-atomic Coulomb interaction is of importance. Ferromagnetism is found to occur if the density of states is large at the band edges rather than in the center, and if the intra-atomic Coulomb repulsion is sufficiently strong. The relation of this approximation to certain exact results for one-dimensional models is discussed.
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Cited by
Georges, A., Kotliar, G., Krauth, W., & Rozenberg, M. J. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.13 · Cited by 6,901
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
Weng, H., Dai, X., & Fang, Z. (2014) · MRS Bulletin · doi:10.1557/mrs.2014.216 · Cited by 91
Metadata
- Authors
- Gutzwiller, M. C.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1965-03-15
- Volume
- 137
- Issue
- 6A
- Pages
- A1726-A1735
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2011538146
- Cited by
- 984
- References
- 0
- FWCI
- 2.20
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gutzwiller, M. C. (1965). Correlation of Electrons in a NarrowsBand. Physical Review. https://doi.org/10.1103/physrev.137.a1726
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