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We present the results of Monte Carlo simulations for the antiferromagneticclassical XXZ model with easy-plane exchange anisotropy on the triangularlattice, which causes frustration of the spin alignment. The behaviour of thissystem is similar to that of the antiferromagnetic XY model on the samelattice, showing the signature of a Berezinskii-Kosterlitz-Thouless transition,associated to vortex-antivortex unbinding, and of an Ising-like one due to thechirality, the latter occurring at a slightly higher temperature. Data forinternal energy, specific heat, magnetic susceptibility, correlation length,and some properties associated with the chirality are reported in a broadtemperature range, for lattice sizes ranging from 24x24 to 120x120; four valuesof the easy-plane anisotropy are considered. Moving from the strongest towardsthe weakest anisotropy (1%) the thermodynamic quantities tend to the isotropicmodel behaviour, and the two transition temperatures decrease by about 25% and22%, respectively.Comment: 11 pages, 13 figures (embedded by psfig), 3 table

Phase transitions induced by easy-plane anisotropy in the classical Heisenberg antiferromagnet on a triangular lattice: A Monte Carlo simulation