Systematic Mapping of the Hubbard Model to the Generalized t-J Model

Details Systematic Mapping of the Hubbard Model to the Generalized t-J Model Systematic Mapping of the Hubbard Model to the Generalized t-J Model

2004-01-05

arxiv.org/abs/cond-mat/0401028v2

Phys. Rev. B 70, 245124 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 13 figures included. v2: Order of sections changed. Calculation and discussion of apparent gap in Section IV.A corre

Scientific paper

10.1103/PhysRevB.70.245124

The generalized t-J model conserving the number of double occupancies is constructed from the Hubbard model at and in the vicinity of half-filling at strong coupling. The construction is realized by a self-similar continuous unitary transformation. The flow equation is closed by a truncation scheme based on the spatial range of processes. We analyze the conditions under which the t-J model can be set up and we find that it can only be defined for sufficiently large interaction. There, the parameters of the effective model are determined.

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