Rigorous results for a hierarchy of generalized Heisenberg models
Strongly Correlated Electrons
2007-05-23 v1 Mesoscale and Nanoscale Physics
Abstract
The Lieb-Schultz-Mattis theorem is extended to generalized Heisenberg models related to non-exceptional Lie algebras. It is shown that there are no energy gaps above the ground sates for SO(4), Sp(2) and SU(4) Heisenberg models, gaps are suspected to occur in SO(5) and SO(6) models. The nondegenerate ground state for these models is rigorously proven.
Cite
@article{arxiv.cond-mat/0201060,
title = {Rigorous results for a hierarchy of generalized Heisenberg models},
author = {You-Quan Li},
journal= {arXiv preprint arXiv:cond-mat/0201060},
year = {2007}
}
Comments
Revtex, 4 pages