Systematic derivation of a generalized [ital t]-[ital J] model

Journal Article · Sun May 01 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.13061· OSTI ID:6641709

Aligia, A A; Simon, M E; Batista, C D ^[1]

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1. Comision Nacional de Energeia Atomica, Centro Atomico Bariloche, 8400 S.C. de Bariloche, Rio Negro (Argentina)

We perform a consistent low-energy reduction of the three-band Hubbard model [ital H][sub 3[ital b]] to an effective one-band model [ital H][sub 1[ital b]], using as an intermediate step a renormalized effective spin-fermion model [ital H][sub sf] in which Cu[sup +] and Cu[sup 3+] configurations are contained as virtual states. We map [ital PH][sub sf][ital P] into [ital H][sub 1[ital b]] using two projectors [ital 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 Cu[sup 3+] (Cu[sup +]) configuration can be neglected.

• OSTI ID: 6641709
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:18; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

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