The one-dimensional Hubbard model: A reminiscence

Elliott H. Lieb, F. Y. Wu

Research output: Contribution to journalConference articlepeer-review

122 Scopus citations

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 languageEnglish (US)
Pages (from-to)1-27
Number of pages27
JournalPhysica A: Statistical Mechanics and its Applications
Volume321
Issue number1-2
DOIs
StatePublished - Apr 1 2003
EventStatphys - Taiwan - 2002: Lattice Models and Complex Systems - Taipei and Taichung, Taiwan, Province of China
Duration: May 26 2002Jun 1 2002

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Keywords

  • Exact solution
  • Hubbard model
  • One dimension

Fingerprint Dive into the research topics of 'The one-dimensional Hubbard model: A reminiscence'. Together they form a unique fingerprint.

Cite this