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- W2580450165 abstract "The influence of uniaxial single-ion anisotropy $ensuremath{-}D{S}_{z}^{2}$ on the magnetic and thermal properties of Heisenberg antiferromagnets (AFMs) is investigated. The uniaxial anisotropy is treated exactly and the Heisenberg interactions are treated within unified molecular field theory (MFT) [Phys. Rev. B 91, 064427 (2015)], where thermodynamic variables are expressed in terms of directly measurable parameters. The properties of collinear AFMs with ordering along the $z$ axis ($D>0$) in applied field ${H}_{z}=0$ are calculated versus $D$ and temperature $T$, including the ordered moment $ensuremath{mu}$, the N'eel temperature ${T}_{mathrm{N}}$, the magnetic entropy, internal energy, heat capacity, and the anisotropic magnetic susceptibilities ${ensuremath{chi}}_{ensuremath{parallel}}$ and ${ensuremath{chi}}_{ensuremath{perp}}$ in the paramagnetic (PM) and AFM states. The high-field average magnetization per spin ${ensuremath{mu}}_{z}({H}_{z},D,T)$ is found, and the critical field ${H}_{mathrm{c}}(D,T)$ is derived at which the second-order AFM to PM phase transition occurs. The magnetic properties of the spin-flop (SF) phase are calculated, including the zero-field properties ${T}_{mathrm{N}}(D)$ and $ensuremath{mu}(D,T)$. The high-field ${ensuremath{mu}}_{z}({H}_{z},D,T)$ is determined, together with the associated spin-flop field ${H}_{mathrm{SF}}(D,T)$ at which a second-order SF to PM phase transition occurs. The free energies of the AFM, SF, and PM phases are derived from which ${H}_{z}ensuremath{-}T$ phase diagrams are constructed. For ${f}_{J}=ensuremath{-}1$ and $ensuremath{-}0.75$, where ${f}_{J}={ensuremath{theta}}_{mathrm{p}J}/{T}_{mathrm{N}J}$ and ${ensuremath{theta}}_{mathrm{p}J}$ and ${T}_{mathrm{N}J}$ are the Weiss temperature in the Curie-Weiss law and the N'eel temperature due to exchange interactions alone, respectively, phase diagrams in the ${H}_{z}ensuremath{-}T$ plane similar to previous results are obtained. However, for ${f}_{J}=0$ we find a topologically different phase diagram where a spin-flop bubble with PM and AFM boundaries occurs at finite ${H}_{z}$ and $T$. Also calculated are properties arising from a perpendicular magnetic field, including the perpendicular susceptibility ${ensuremath{chi}}_{ensuremath{perp}}(D,T)$, the associated effective torque at low fields arising from the $ensuremath{-}D{S}_{z}^{2}$ term in the Hamiltonian, the high-field perpendicular magnetization ${ensuremath{mu}}_{ensuremath{perp}}$, and the perpendicular critical field ${H}_{mathrm{c}ensuremath{perp}}$ at which the second-order AFM to PM phase transition occurs. In addition to the above results for $D>0$, the ${T}_{mathrm{N}}(D)$ and ordered moment $ensuremath{mu}(T,D)$ for collinear AFM ordering along the $x$ axis with $D<0$ are determined. In order to compare the properties of the above spin systems with those of noninteracting systems with $ensuremath{-}D{S}_{z}^{2}$ uniaxial anisotropy with either sign of $D$, Supplemental Material is provided in which results for the thermal and magnetic properties of such noninteracting spin systems are given." @default.
- W2580450165 created "2017-02-03" @default.
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- W2580450165 date "2017-03-17" @default.
- W2580450165 modified "2023-09-30" @default.
- W2580450165 title "Influence of uniaxial single-ion anisotropy on the magnetic and thermal properties of Heisenberg antiferromagnets within unified molecular field theory" @default.
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- W2580450165 doi "https://doi.org/10.1103/physrevb.95.094421" @default.
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