Using the effective field theory with a probability distribution technique that accounts for the self-spin correlation functions, the phase transitions in the semi-infinite anisotropic spin-i Heisenberg ferromagnet on a simple cubic lattice are examined. For fixed values of the reduced exchange anisotropic parameter, the critical temperature of the system is studied as a function of the ratio R of the surface exchange couplings to the bulk ones. It was found that if R ≤ R,, the system orders at the bulk critical temperature Tc^B / J and if R ≥ Rc, the system exhibits two successive transitions. The surface orders at the surface critical temperature Tc^S / J which is higher than Tc^B / J and as the temperature is lowered, in the presence of an ordered surface, the bulk orders at Tc^B / J.
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