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

(2) Stanford University); Eugene Demler (2); Shou-Cheng Zhang (2) ((1) Universitaet Wuerzburg; Stefan Meixner (1); Werner Hanke (1)

arxiv: cond-mat/9701217 · v1 · submitted 1997-01-30 · ❄️ cond-mat.str-el

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

Stefan Meixner (1) , Werner Hanke (1) , Eugene Demler (2) , Shou-Cheng Zhang (2) ((1) Universitaet Wuerzburg , (2) Stanford University) This is my paper

classification ❄️ cond-mat.str-el

keywords symmetryhubbardmodelnumericalpeaksalgebraapproximatebroken

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

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