Su(3) algebraic structure of the cuprate superconductor model based on the analogy with atomic nuclei

A cuprate superconductor model based on the analogy with atomic nuclei was shown by Iachello to have an su(3) structure. The mean-field approximation Hamiltonian can be written as a linear function of the generators of the su(3) algebra. Using algebraic methods, we derive the eigenvalues of the reduced Hamiltonian beyond the subalgebras u(1) u(2) and so(3) of the su(3) algebra. In particular, by considering the coherence between s- and d-wave pairs as a perturbation, the effects of the coherent term upon the energy spectrum are investigated.