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An Exactly Soluble Model of a Many-Fermion System
Abstract
An exactly soluble model of a one-dimensional many-fermion system is discussed. The model has a fairly realistic interaction between pairs of fermions. An exact calculation of the momentum distribution in the ground state is given. It is shown that there is no discontinuity in the momentum distribution in this model at the Fermi surface, but that the momentum distribution has infinite slope there. Comparison with the results of perturbation theory for the same model is also presented, and it is shown that, for this case at least, the perturbation and exact answers behave qualitatively alike. Finally, the response of the system to external fields is also discussed.
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Citations
Cited by
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Ando, T. (2005) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.74.777 · Cited by 893
Proximity-Induced Superconductivity in DNA
Kasumov, A. Y., Kociak, M., Guéron, S., Reulet, B., Volkov, V. T., Klinov, D. V., & Bouchiat, H. (2001) · Science · doi:10.1126/science.291.5502.280 · Cited by 710
Naber, W. J. M., Faez, S., & Wiel, W. G. V. D. (2007) · Journal of Physics D: Applied Physics · doi:10.1088/0022-3727/40/12/r01 · Cited by 459
Cheon, G., Duerloo, K.-A. N., Sendek, A. D., Porter, C., Chen, Y., & Reed, E. J. (2017) · Nano Letters · doi:10.1021/acs.nanolett.6b05229 · Cited by 217
Quantum simulations with cold trapped ions
Johanning, M., Varón, A. F., & Wunderlich, C. (2009) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/42/15/154009 · Cited by 208
Metadata
- Authors
- Luttinger, J. M.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1963-09-01
- Volume
- 4
- Issue
- 9
- Pages
- 1154-1162
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2073058492
- Cited by
- 1,775
- References
- 0
- FWCI
- 1.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- Luttinger, J. M. (1963). An Exactly Soluble Model of a Many-Fermion System. Journal of Mathematical Physics. https://doi.org/10.1063/1.1704046
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
