NMR properties of a one-dimesional Cu-O model

We obtain the Knight shifts and the relaxation rates related to the Fermi contact interaction term for a one-dimensional Cu-O model using bosonization technique. We consider the small interaction limit at half-filling and away from half-filling. In this framework we predict that the antiferromagnetic contribution to the relaxation rate of the nuclear oxygen spin is completely suppressed even away from half-filling, when the temperature is low enough. In the strong interaction limit at half-filling we compute the effective Fermi contact interaction performing a Gutzwiller projection. Both limits suggest that the one-dimensional versions of the Mila-Rice and of the Shastry scenarios of transferred hyperfine couplings which were proposed to explain the NMR measurements for High-T_c cuprates fail in a one-dimensional situation.