Rigorous results for a hierarchy of generalized Heisenberg models

Details Rigorous results for a hierarchy of generalized Heisenberg models Rigorous results for a hierarchy of generalized Heisenberg models

2002-01-06

arxiv.org/abs/cond-mat/0201060v1

Physical Review Letters 87(12), 127208 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex, 4 pages

Scientific paper

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.

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