Open AccessAn sus(1,1) ⊕ sud(1,1) algebraic structure of the cuprate superconductors model based on the analogy with atomic nuclei
Author(s) -
金硕,
解炳昊,
张宏标
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.030304
Subject(s) - hamiltonian (control theory) , algebraic structure , eigenvalues and eigenvectors , algebraic number , physics , superconductivity , mathematical physics , cuprate , operator (biology) , quantum mechanics , algebra over a field , pure mathematics , mathematics , mathematical analysis , mathematical optimization , biochemistry , chemistry , repressor , transcription factor , gene
A cuprate superconductor model based on the analogy with atomic nuclei was presented to have an su(3) algebraic structure by Iachello. Our previous work showed that the mean-field approximation Hamiltonian can be expressed as a linear function of the generator of su(3) algebra. Through the realization of the algebra generator, an sus(1,1) ⊕ sud(1,1) algebraic structure is shown. By using the unitary transformation of the coherent operator U(θ,φ), the gap equations and the eigenvalues of the reduced Hamiltonian are obtained. The analysis of the physical model through different algebraic structures leads to different particular results.