Ordering of Energy Levels for Extended SU(N) Hubbard Chain

Details Ordering of Energy Levels for Extended SU(N) Hubbard Chain Ordering of Energy Levels for Extended SU(N) Hubbard Chain

2010-03-10

arxiv.org/abs/1003.2147v2

SIGMA 6 (2010), 024, 13 pages

Physics

Mathematical Physics

Scientific paper

10.3842/SIGMA.2010.024

The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among the states from equivalent representations are nondegenerate and ordered according to the dominance order of corresponding Young diagrams. In particular, the ground states form a unique antisymmetric multiplet. The relation with the similar ordering among the spatial wavefunctions with different symmetry classes of ordinary quantum mechanics is discussed also.

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