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Ferromagnetism in the XY model with random threefold anisotropy.

A Monte Carlo algorithm has been used to study the XY model with random threefold single-site anisotropy on simple cubic lattices, in the strong-anisotropy limit. The model has a pure XY-like ferromagnetic critical point at T c /J=2.190±0.005. The zero-field thermodynamic functions remain close to those of the simple XY model down to T≃2.00J. The ground state has an energy per spin of E 0 /J=-2.2305±0.0010 and a magnetization per spin of M 0 =0.720±0.003