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

Symmetry Integrability and Geometry-Methods and Applications

article

Tigran Hakobyan¹ 

[1] Yerevan State University, Armenia Yerevan Physics Institute

关键词: Lieb–Mattis theorem;    SU(N) Hubbard model;    ground state;    dominance order;    Schur–Weyl duality;   

DOI  :  10.3842/SIGMA.2010.024

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown