Range of the t--J model parameters for CuO${}_2$ plane: experimental data constraints

Abstract

The t-J model effective hopping integral is determined from the three-band Hubbard model for the charge carriers in CuO${}_2$ plane. For this purpose the values of the superexchange constant $J$ and the charge-transfer gap $E_{gap}$ are calculated in the framework of the three-band model. Fitting values of $J$ and $E_{gap}$ to the experimental data allows to narrow the uncertainty region of the three-band model parameters. As a result, the $t/J$ ratio of the t-J model is fixed in the range $2.4÷2.7$ for holes and $2.5÷3.0$ for electrons. Formation of the Frenkel exciton is justified and the main features of the charge-transfer spectrum are correctly described in the framework of this approach.

20pp., REVTEX 3.0, (11 figures), report 666

References in corpus (6)

• Consistent low-energy reduction of the three-band model for copper oxides with O-O hopping to the effective t-J model
• Binding of holes and pair spectral function in the t-J model
• Reduction of three-band model for copper oxides to single-band generalized t~-~J model
• Large size two-hole bound states in t-J model
• Hole-Hole Contact Interaction in the t-J Model
• Low-energy limit of the three-band model for electrons in a CuO${}_2$ plane

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