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The one-dimensional Hubbard model: a reminiscence

Author

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  • Lieb, Elliott H.
  • Wu, F.Y.

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.

Suggested Citation

  • Lieb, Elliott H. & Wu, F.Y., 2003. "The one-dimensional Hubbard model: a reminiscence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 1-27.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:1-27
    DOI: 10.1016/S0378-4371(02)01785-5
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    Cited by:

    1. Balcerzak, T. & Szałowski, K., 2017. "Hubbard pair cluster in the external fields. Studies of the chemical potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 252-266.
    2. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the magnetic properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 395-406.
    3. Balcerzak, T. & Szałowski, K., 2018. "Hubbard pair cluster in the external fields. Studies of the polarization and susceptibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 1069-1084.

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