Exact realization of SO(5) symmetry in extended Hubbard models

Abstract

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

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