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Journal of Physics and Chemistry of Solids

Numerical evidence for SO(5) symmetry and superspin multiplets in the t–J model

R. Eder, Werner R. Hanke, Shoucheng Zhang

Published Oct 1, 1998• 0 citations
Publisher
DOI
10.1016/s0022-3697(98)00088-2

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In this work, we present numerical results which support SO(5) symmetry as a concept unifying superconductivity and antiferromagnetism in the high-temperature superconductors. Using exact cluster diagonalization, we verify that low-energy states of the $t\ensuremath{-}J$ model, a widely used microscopic model for the high-Tc{T}_{c}Tc​ cuprates, form SO(5) symmetry multiplets. Our results show that the ddd-wave superconducting ground states away from half-filling are obtained from the higher-spin states at half-filling through SO(5) rotations. The SO(5) symmetry is found to be robust against the inclusion of longer-ranged Coulomb repulsion and next-nearest-neighbor hopping.
In this work, we present numerical results which support SO(5) symmetry as a concept unifying superconductivity and antiferromagnetism in the high-temperature superconductors. Using exact cluster diagonalization, we verify the recently proposed SO(5) multiplet structures for a widely used microscopic model, the t-J model. Our results show that the d-wave superconducting ground states away from half-filling are obtained from the higher spin states at half-filling through SO(5) rotations, that the dominant low energy resonance in the dynamical spin correlation function corresponds to a `pi-resonance' in the entire low doping region, and that the SO(5) symmetry is robust against inclusion of longer ranged Coulomb repulsion and next-nearest neighbor hopping.