The one-dimensional Hubbard model: A reminiscence

Details The one-dimensional Hubbard model: A reminiscence The one-dimensional Hubbard model: A reminiscence

2002-07-22

arxiv.org/abs/cond-mat/0207529v2

Physica A 321, 1-27 (2003).

Physics

Condensed Matter

Strongly Correlated Electrons

Minor typos corrected, to appear in the Physica A

Scientific paper

10.1016/S0378-4371(02)01785-5

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-T_c superconductivity, it is appropriate to revisit the one-dimensional model and to recall here some details of the solution.

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