Magnetic properties of cuprate perovskites in the normal state

Normal-state magnetic properties of cuprate high-T_c superconductors are interpreted based on the self-consistent solution of the t-J model of Cu-O planes. The solution method retains the rotation symmetry of spin components in the paramagnetic state and has no preset magnetic ordering. The obtained solution is homogeneous. The calculated temperature and concentration dependencies of the magnetic susceptibility are close to those observed in experiment. These results offer explanations for the observed scaling of the static uniform susceptibility and for the changes in the spin correlation length, spin-lattice and spin-echo decay rates in terms of the temperature and doping variations in the spin excitation spectrum.