Integrable su(3) spin chain combining different representations
摘要
The general expression for the local matrix of a quantum chain with the site space in any representation of su(3) is obtained. This is made by generalizing from the fundamental representation and imposing the fulfillment of the Yang-Baxter equation. Then, a non-homogeneous spin chain combining different representations of su(3) is solved by developing a method inspired in the nested Bethe ansatz. The solution for the eigenvalues of the trace of the monodromy matrix is given as two coupled Bethe equations. A conjecture about the solution of a chain with the site states in different representations of su(n) is presented. The thermodynamic limit of the ground state is calculated.
引用
@article{arxiv.cond-mat/9706136,
title = {Integrable su(3) spin chain combining different representations},
author = {J. Abad and M. Ríos},
journal= {arXiv preprint arXiv:cond-mat/9706136},
year = {2016}
}
备注
PlainTex harvmac, 30 pages, 7 figures, to appear in Journal of Physics A