Systematic Mapping of the Hubbard Model to the Generalized t-J Model
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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.
16 pages, 13 figures included. v2: Order of sections changed. Calculation and discussion of apparent gap in Section IV.A corrected
16 pages, 13 figures included. v2: Order of sections changed. Calculation and discussion of apparent gap in Section IV.A corrected