Charged and spin-excitation gaps in half-filled strongly correlated electron systems: A rigorous result

Details Charged and spin-excitation gaps in half-filled strongly correlated electron systems: A rigorous result Charged and spin-excitation gaps in half-filled strongly correlated electron systems: A rigorous result

1998-07-20

arxiv.org/abs/cond-mat/9807272v1

Phys. Rev. B, 58, No. 11 (15 Sept., 1998)

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, no figure

Scientific paper

10.1103/PhysRevB.58.7612

By exploiting the particle-hole symmetries of the Hubbard model, the periodic Anderson model and the Kondo lattice model at half-filling and applying a generalized version of Lieb's spin-reflection positivity method, we show that the charged gaps of these models are always larger than their spin excitation gaps. This theorem confirms the previous results derived by either the variational approach or the density renormalization group approach.

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