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Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
Abstract
The short-range, one-band model for electron correlations in a narrow energy band is solved exactly in the one-dimensional case. The ground-state energy, wave function, and the chemical potentials are obtained, and it is found that the ground state exhibits no conductor-insulator transition as the correlation strength is increased.
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Citations
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Angle-resolved photoemission studies of the cuprate superconductors
Damascelli, A., Hussain, Z., & Shen, Z.-X. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.473 · Cited by 3,775
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
Jarrell, M., & Gubernatis, J. E. (1996) · Physics Reports · doi:10.1016/0370-1573(95)00074-7 · Cited by 1,315
Belitz, D., & Kirkpatrick, T. R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.261 · Cited by 991
Metadata
- Authors
- Lieb, E. H., & Wu, F. Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1968-06-17
- Volume
- 20
- Issue
- 25
- Pages
- 1445-1448
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2047240241
- Cited by
- 2,946
- References
- 0
- FWCI
- 7.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. https://app.cochat.ai/papers/10.1103/physrevlett.20.1445
- The paper
- Lieb, E. H., & Wu, F. Y. (1968). Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension. Physical Review Letters. https://doi.org/10.1103/physrevlett.20.1445
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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.
