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摘要
We present an extension of Nagaoka's theorem in the SU(n) generalization of the infinite-U Hubbard model. It is shown that, when there is exactly one hole, the fully polarized states analogous to the ferromagnetic states in the SU(2) Hubbard model are ground states. For a restricted class of models satisfying the connectivity condition, these fully polarized states are the unique ground states up to the trivial degeneracy due to the SU(n) symmetry. We also give examples of lattices in which the connectivity condition can be verified explicitly. The examples include the triangular, Kagome, and hypercubic lattices in d (>= 2) dimensions, among which the cases of d = 2 and 3 are experimentally realizable in ultracold atomic gases loaded into optical lattices. DOI: 10.1103/PhysRevA.87.013617
- 出版日期2013-1-17
