Zhang recently conjectured an approximate SO(5) symmetry relating antiferromagnetic and superconducting states in high- ${T}_{c}$ cuprates. Here, an exact SO(5) symmetry is implemented in a generalized Hubbard model (with long-range interactions) on a lattice. The possible relation to a more realistic extended Hubbard Hamiltonian is discussed.Zhang recently conjectured an approximate SO(5) symmetry relating antiferromagnetic and superconducting states in high- ${T}_{c}$ cuprates. Here, an exact SO(5) symmetry is implemented in a generalized Hubbard model (with long-range interactions) on a lattice. The possible relation to a more realistic extended Hubbard Hamiltonian is discussed.

arXiv:cond-mat/9707275Physical Review LettersApr 20, 199846 citations

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

Stefan Meixner, Werner R. Hanke, Eugene Demler +1 more

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 $\ensuremath{\pi}$ operators, the generators of the SO(5) algebra, are studied using exact diagonalization, and are found to possess sharp collective peaks. Our numerical results also lend support to 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. Perturbations such as longer-ranged hoppings and interactions do not suppress the $\ensuremath{\pi}$ resonance in interesting parameter regimes.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 $\ensuremath{\pi}$ operators, the generators of the SO(5) algebra, are studied using exact diagonalization, and are found to possess sharp collective peaks. Our numerical results also lend support to 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. Perturbations such as longer-ranged hoppings and interactions do not suppress the $\ensuremath{\pi}$ resonance in interesting parameter regimes.

arXiv:cond-mat/9701217Physical Review LettersDec 15, 199743 citations

SO 4 SYMMETRY IN A HUBBARD MODEL

Chen Ning Yang, S.-C. Zhang

WORLD SCIENTIFIC eBooksJan 1, 20260 citations

Zhang recently conjectured an approximate SO(5) symmetry relating antiferromagnetic and superconducting states in high-

{T}_{c}

cuprates. Here, an exact SO(5) symmetry is implemented in a generalized Hubbard model (with long-range interactions) on a lattice. The possible relation to a more realistic extended Hubbard Hamiltonian is discussed.