Nagaoka State and Degeneracy in the U=infinity Hubbard Model

Details Nagaoka State and Degeneracy in the U=infinity Hubbard Model Nagaoka State and Degeneracy in the U=infinity Hubbard Model

1996-07-17

arxiv.org/abs/cond-mat/9607126v1

Physics

Condensed Matter

4 pages, Revtex, To appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.54.9011

The U=infinity Hubbard model on a hypercubic lattice with exactly one hole is studied. It is seen that a degeneracy can occur in the maximal-spin sector. It is proved variationally that the Nagaoka (maximal spin) state is not a ground state, if degeneracy exists. We give an explicit construction of a variational state, an incommensurate spin-wave state, with energy lower than that of the Nagaoka state. For the case of more than one hole, a few examples are discussed where a degeneracy exists.

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