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26 April 2024 |
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SO(5) Symmetry in t-J and Hubbard Models | | W. Hanke
; R. Eder
; E. Arrigoni
; A. Dorneich
; S. Meixner
; M.G. Zacher
; | | Date: |
1 Jul 1998 | | Subject: | Strongly Correlated Electrons; Superconductivity | cond-mat.str-el cond-mat.supr-con | | Abstract: | Numerical and analytical results are reviewed, which support SO(5) symmetry as a concept unifying superconductivity and antiferromagnetism in the high-temperature superconductors. Exact cluster diagonalizations verify that the low-energy states of the two-dimensional t-J and Hubbard models, widely used microscopic models for the high-Tc cuprates, form SO(5) symmetry multiplets. Apart from a small standard deviation ~J/10, these multiplets become degenerate at a critical chemical potential (transition into doped system). As a consequence, the d-wave superconducting states away from half-filling are obtained from the higher spin states at half-filling through SO(5) rotations. Between one and two dimensions, using weak-coupling renormalization, a rather general ladder Hamiltonian including next-nearest-neighbor hopping can be shown to flow to an SO(5) symmetric point. Experimental tests and consequences such as the existence of a pi-Goldstone mode both in the insulator and superconductor and, in particular, the relationship between the photoemission spectra of the insulator and superconductor, are emphasized. | | Source: | arXiv, cond-mat/9807015 | | Services: | Forum | Review | PDF | Favorites | |
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