Phys. Rev. B 49, 13061–13064 (1994)Systematic derivation of a generalized t-J modelReceived 5 January 1994; published in the issue dated 1 May 1994 We perform a consistent low-energy reduction of the three-band Hubbard model H3b to an effective one-band model H1b, using as an intermediate step a renormalized effective spin-fermion model Hsf in which Cu+ and Cu3+ configurations are contained as virtual states. We map PHsfP into H1b using two projectors P onto different Zhang-Rice singlets: (1) orthogonal singlets constructed using O Wanner functions, (2) nonorthogonal singlets. In case 1 (2) the mapping is almost exact (exact as shown before by Zhang) if direct O-O hopping and the Cu3+ (Cu+) configuration can be neglected. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.49.13061
DOI:
10.1103/PhysRevB.49.13061
PACS:
71.10.+x, 74.20.Mn, 75.10.Jm
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