On the derivation of the t-J model: electron spectrum and exchange interactions in narrow energy bands

Details On the derivation of the t-J model: electron spectrum and exchange interactions in narrow energy bands On the derivation of the t-J model: electron spectrum and exchange interactions in narrow energy bands

1997-05-06

arxiv.org/abs/cond-mat/9705043v1

Phys. Rev. B, 57 (1998) 13375

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX

Scientific paper

10.1103/PhysRevB.57.13375

A derivation of the t-J model of a highly-correlated solid is given starting from the general many-electron Hamiltonian with account of the non-orthogonality of atomic wave functions. Asymmetry of the Hubbard subbands (i.e. of ``electron'' and ``hole''cases) for a nearly half-filled bare band is demonstrated. The non-orthogonality corrections are shown to lead to occurrence of indirect antiferromagnetic exchange interaction even in the limit of the infinite on-site Coulomb repulsion. Consequences of this treatment for the magnetism formation in narrow energy bands are discussed. Peculiarities of the case of ``frustrated'' lattices, which contain triangles of nearest neighbors, are considered.

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