IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v321y2003i1p1-27.html
   My bibliography  Save this article

The one-dimensional Hubbard model: a reminiscence

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102017855
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(02)01785-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:1-27. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.