A. Cuccoli et al., TEMPERATURE AND SPIN-DEPENDENT CORRELATION LENGTH OF THE QUANTUM HEISENBERG-ANTIFERROMAGNET ON THE SQUARE LATTICE, Physical review letters, 77(16), 1996, pp. 3439-3442
The quantum Heisenberg antiferromagnet (HAF) is approached by the pure
-quantum self-consistent harmonic approximation that reduces it to an
effective classical HAF model. The effective exchange enters the class
ical-like expression for thermal averages as a temperature scale, so t
hat one can obtain in a simple way the quantum spin correlation length
from its classical counterpart. For any spin value S the results comp
are very well with those from experiments, quantum Monte Carlo simulat
ions, and high-T expansion. The adequacy of our theory supports argume
nts previously raised against the quantitative validity of the mapping
of the quantum HAF onto the quantum nonlinear sigma model.