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Range of the t--J model parameters for CuO$_{2}$ plane: experimental data constraints

V. I. Belinicher·A. L. Chernyshev·L. V. Popovich
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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.

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V. I. Belinicher, A. L. Chernyshev, L. V. Popovich. 1994-07-05. Range of the t--J model parameters for CuO$_{2}$ plane: experimental data constraints. https://doi.org/10.1103/physrevb.50.13768

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