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The influence of uniaxial single-ion anisotropy -DSz^2 on the magnetic andthermal properties of Heisenberg antiferromagnets (AFMs) is investigated. Theuniaxial anisotropy is treated exactly and the Heisenberg interactions aretreated within unified molecular field theory (MFT) [Phys. Rev. B 91, 064427(1915)], where thermodynamic variables are expressed in terms of directlymeasurable parameters. The properties of collinear AFMs with ordering along thez axis (D > 0) in applied fields Hz = 0 are calculated versus D and temperatureT. The high-field average magnetization per spin muz(Hz,D,T) is found, and thecritical field Hc(D,T) is derived at which the second-order AFM to PM phasetransition occurs. The magnetic properties of the spin-flop (SF) phase arecalculated, including the zero-field properties TN(D) and mu(D,T). Thehigh-field muz(Hz,D,T) is determined, together with the associated spin-flopfield HSF(D,T) at which a second-order SF to PM phase transition occurs. Thefree energies of the AFM, SF and PM phases are derived from which Hz-T phasediagrams are constructed. For a certain combination of parameters we find atopologically distinct phase diagram where a spin-flop bubble occurs at finiteHz and T. Also calculated are properties arising from a perpendicular magneticfield. In addition to the above results for D > 0, some properties with D < 0are determined. In order to compare the properties of the above spin systemswith those of noninteracting systems with DSz^2 uniaxial anisotropy with eithersign of D, an Appendix is included in which results for the thermal andmagnetic properties of such noninteracting spin systems are provided.

physical review. b./physical review. b

Influence of uniaxial single-ion anisotropy on the magnetic and thermal  properties of Heisenberg antiferromagnets within unified molecular field  theory