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From Antiferromagnetism to Superconductivity: Numerical Evidence for SO(5) Symmetry

1997/07/22 by R. Eder, Eder, R., Hanke, W. +2
Chemistry · Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Inorganic Fluorides and Related Compounds #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.cond-mat/9707233

openalex publication_date 1997/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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