Abstract:
Based on the equation-of-motion method for the relaxation function expressed
in terms of Hubbard operators, we evaluate the static spin susceptibility and
correlation functions in the two-dimensional $t$–$J$ model. We show that
at zero temperature, a long-range antiferromagnetic order exists in
the lattice for the hole concentration $\delta<\delta_{\mathrm{c}}\simeq 0.018$.
The calculated dependences of the spin susceptibility and correlation length on
the temperature and hole concentration agree qualitatively with the experiment.
Keywords:strong electron correlation, spin susceptibility, high-temperature superconductivity, $t$–$J$ model.