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The Role of Symmetries in Systems of Strongly Correlated Electrons

  • V. E. Korepin
  • F. H. L. Essler
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 118)

Abstract

We discuss the role of the SO(4) symmetry for the dynamics of the Hubbard model. The elementary excitations in the half-filled band (in the one-dimensional case) form the fundamental representation of SU(2) × SU(2). The exact scattering matrix has the same symmetry. By making use of this strong influence of symmetries on the dynamics, it is possible to extend the Hubbard model such that it becomes superconducting. One should add additional nearest neighbour interactions to the hamiltonian, which enlarge the symmetry of the model from SO(4) to the superalgebra SU(2|2).

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • V. E. Korepin
    • 1
  • F. H. L. Essler
    • 1
  1. 1.Institute for Theoretical PhysicsState University of New York at Stony BrookStony BrookUSA

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