The one-dimensional Hubbard model: a reminiscence

By Elliott H. Lieb, F. Y. Wu. 2002

167 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/dec64dd6d360421fa7da54cacf57d552440d20e2

Citations in the corpus

• Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, unknown): “It is exactly solvable only in special cases, for instance in one dimension [43,44] and in the limit of infinitely connected lattices [45].”