  We consider quantum Heisenberg ferro- and antiferromagnets on the square
lattice with exchange anisotropy of easy-plane or easy-axis type. The
thermodynamics and the critical behaviour of the models are studied by the
pure-quantum self-consistent harmonic approximation, in order to evaluate the
spin and anisotropy dependence of the critical temperatures. Results for
thermodynamic quantities are reported and comparison with experimental and
numerical simulation data is made. The obtained results allow us to draw a
general picture of the subject and, in particular, to estimate the value of the
critical temperature for any model belonging to the considered class.
