Finite-Size Studies on the SO(5) Symmetry of the Hubbard Model

Details Finite-Size Studies on the SO(5) Symmetry of the Hubbard Model Finite-Size Studies on the SO(5) Symmetry of the Hubbard Model

1997-01-30

arxiv.org/abs/cond-mat/9701217v1

Phys. Rev. Lett. 79, 4902 (1997)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, Rev-Tex, includes 2 eps figures

Scientific paper

10.1103/PhysRevLett.79.4902

We present numerical evidence for the approximate SO(5) symmetry of the Hubbard model on a 10 site cluster. Various dynamic correlation functions involving the $\pi$ operators, the generators of the SO(5) algebra, are studied using exact diagonalisation, and are found to possess sharp collective peaks. Our numerical results also lend support on the interpretation of the recent resonant neutron scattering peaks in the YBCO superconductors in terms of the Goldstone modes of the spontaneously broken SO(5) symmetry.

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