Uniform magnetic susceptibility of thet-Jmodel on the 4×4 lattice

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Abstract
We study the temperature and doping dependence of the uniform susceptibility, χ, for the t-J model by calculating exactly the low-lying states of the 4×4 system with periodic boundary conditions. We find that at low doping and temperatures around J/3 the susceptibility increases with doping. Furthermore the peak in its temperature dependence shifts to lower temperatures with doping. These features are in agreement with high-temperature expansions. At higher dopings (6 holes or larger) the susceptibility begins to decrease with increasing doping, again consistent with high-temperature expansions.