Using a modified Lanczos method we have evaluated the conformal anomaly c of anisotropic Heisenberg models with S=(1/2 and (3/2 in the critical region (0\ensuremath{\le}\ensuremath{\lambda}\ensuremath{\le}1). For the theory with S=(1/2, we obtain c=1 in the whole range of the parameter \ensuremath{\lambda} and we check the expression ${\ensuremath{\eta}}_{z}$=1/[1-arccos(\ensuremath{\lambda})/\ensuremath{\pi}] for the critical exponent of the
Sz correlation function. Studying the model with S=(3/2, the conformal anomaly seems to converge to 1 for 0\ensuremath{\le}\ensuremath{\lambda}\ensuremath{\le}1 but ${\ensuremath{\eta}}_{z}$ does not appear to follow the same qualitative behavior as for S=(1/2. .AE
The critical
O(n) model on a finite honeycomb lattice is solved by the Bethe-Ansatz method. Amplitudes of the dominant finite-size corrections to part of the eigenspectrum are obtained analytically. A comparison with Cardy's predictions from the theory of conformal invariance leads to the exact results for the conformal anomaly and scaling dimensions.