Su(3) Algebraic Structure of the Cuprate Superconductors Model based on the Analogy with Atomic Nuclei

TL;DR

This paper explores the algebraic $su(3)$ structure of a cuprate superconductor model inspired by atomic nuclei, deriving eigenvalues and analyzing the effects of pairing coherence on the energy spectrum.

Contribution

It introduces an algebraic approach to analyze the $su(3)$ structure of the superconductor model and derives eigenvalues beyond common subalgebras, considering pairing coherence effects.

Findings

Eigenvalues derived beyond $u(1)\otimes u(2)$ and $so(3)$ subalgebras

Coherence between s- and d-wave pairs affects the energy spectrum

Algebraic method provides insights into the superconductor's structure

Abstract

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 $su(3)$ algebra. Using algebraic method, we derive the eigenvalues of the reduced Hamiltonian beyond the subalgebras $u(1)\bigotimes u(2)$ and $so(3)$ of $su(3)$ algebra. In particular, by considering the coherence between s- and d-wave pairs as perturbation, the effects of coherent term upon the energy spectrum are investigated.