L. Capriotti et al., PHASE-TRANSITIONS INDUCED BY EASY-PLANE ANISOTROPY IN THE CLASSICAL HEISENBERG-ANTIFERROMAGNET ON A TRIANGULAR LATTICE - A MONTE-CARLO SIMULATION, Physical review. B, Condensed matter, 58(1), 1998, pp. 273-281
The antiferromagnetic classical XXZ model with easy-plane exchange ani
sotropy on the triangular lattice, which causes frustration of the spi
n alignment, is studied by means of Monte Carlo simulations. The syste
m shows the signature;of a Berezinskii-Kosterlitz-Thouless transition,
associated with vortex-antivortex unbinding, and of an Ising-like one
due to the chirality, the latter occurring at a slightly higher tempe
rature. Data for internal energy, specific heat, magnetic susceptibili
ty, correlation length, and some properties associated with the chiral
ity are reported in a broad temperature range for lattice sizes rangin
g from 24x24 to 120x120; four values of the easy-plane anisotropy are
considered. Moving from the strongest towards the weakest anisotropy (
1%), as the thermodynamic quantities tend to the isotropic model behav
ior, the two transition temperatures decrease by about 25% and 22%, re
spectively. [S0163-1829(98)00725-5].