Abstract
In 1968 we published the solution of the ground state energy and wave function of the one-dimensional Hubbard model, and we also showed that there is no Mott transition in this model. Details of the analysis have never been published, however. As the Hubbard model has become increasingly important in condensed matter physics, relating to topics such as the theory of high-Tc superconductivity, it is appropriate to revisit the one-dimensional model and to recall here some details of the solution.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-27 |
| Number of pages | 27 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 321 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Apr 1 2003 |
| Event | Statphys - Taiwan - 2002: Lattice Models and Complex Systems - Taipei and Taichung, Taiwan, Province of China Duration: May 26 2002 → Jun 1 2002 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics
Keywords
- Exact solution
- Hubbard model
- One dimension
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Cite this
Lieb, E. H., & Wu, F. Y. (2003). The one-dimensional Hubbard model: A reminiscence. Physica A: Statistical Mechanics and its Applications, 321(1-2), 1-27. https://doi.org/10.1016/S0378-4371(02)01785-5