U. Trapper et al., SPIN SUSCEPTIBILITY AND MAGNETIC SHORT-RANGE ORDER IN THE HUBBARD-MODEL, Physical review. B, Condensed matter, 54(11), 1996, pp. 7614-7617
The uniform static spin susceptibility in the paraphase of the one-ban
d Hubbard model is calculated within a theory of magnetic short-range
order (SRO) which extends the four-field slave-boson functional-integr
al. approach by the transformation to an effective Ising model and the
self-consistent incorporation of SRO at the saddle point. This theory
describes a transition from the paraphase without SRO for hole doping
s delta > delta(c2) to a paraphase with antiferromagnetic SRO for delt
a(c1) < delta < delta(c2). In this region the susceptibility consists
of interrelated ''itinerant'' and ''local'' parts and increases upon d
oping. The zero-temperature susceptibility exhibits a cusp at delta(c2
) and reduces to the usual slave-boson result for larger dopings. Usin
g the realistic value of the on-site Coulomb repulsion U = 8t for La2-
deltaSrdeltaCuO4, the peak position (delta(c2) = 0.26) as well as the
doping dependence reasonably agree with low-temperature susceptibility
experiments showing a maximum at a hole doping of about 25%.