We have carried out a neutron-scattering study of the instantaneous spin-sp
in correlations in La2CuO4 (T-N = 325 K) over the temperature range 337-824
K. Incident neutron energies varying from 14.7-115 meV have been employed
in order to guarantee that the energy integration is carried out properly.
The results so obtained for the spin-correlation length as a function of te
mperature when expressed in reduced units agree quantitatively both with pr
evious results for the two-dimensional (2D) tetragonal material Sr(2)CnO(2)
Cl(2), and with quantum Monte Carlo results for the nearest-neighbor square
lattice S = 1/2 Heisenberg model. All of the experimental tend numerical r
esults for the correlation length are well described without any adjustable
parameters by the behavior predicted for the quantum nonlinear sigma model
in the low-temperature renormalized classical regime. The amplitude, on th
e other hand, deviates subtly from the predicted low-temperature behavior.
These results are discussed in the context of recent theory for the 2D quan
tum Heisenberg model. [S0163-1829(99)08921-3].