We consider the quantum easy-plane (XXZ) magnet on the square lattice.
In the classical case the system exhibits the Berezinskii-Kosterlitz-
Thouless transition. Simulations, both for ferro- and antiferromagnets
, using the method of the effective classical Hamiltonian, are made fo
r different spin values and refer to the specific heat, the static spi
n correlation functions and correlation lengths in a broad range of te
mperatures, below and above the transition. The effects of quantum flu
ctuations are quantitatively evaluated and discussed. (C) 1997 America
n Institute of Physics.