Abstract

In this article the kinetic theory developed by Resibois and De Leener describing the temporal behavior of the spin autocorrelation functions near the critical point ($T\ensuremath{\gtrsim}{T}_{c}$) in the Weiss limit is extended to exchange anisotropic systems with arbitrary spin. From our model, the scaling laws proposed by Riedel and Wegner can be justified microscopically. Furthermore, we suggest an interpretation of experimental data of linewidths above ${T}_{c}$ on the uniaxial antiferromagnet Mn${\mathrm{F}}_{2}$ in terms of the variables $\frac{{\ensuremath{\kappa}}_{\ensuremath{\parallel}}}{q}$ and $\frac{{\ensuremath{\kappa}}_{\ensuremath{\Delta}}}{q}$, where ${\ensuremath{\kappa}}_{\ensuremath{\Delta}}$ is directly related to anisotropy. Owing to the satisfactory agreement obtained in the above, we give scaling functions relative to various systems (uniaxial and planar ferromagnets and planar antiferromagnets).

Keywords

PhysicsCondensed matter physicsAnisotropyAntiferromagnetismScalingSpin (aerodynamics)PlanarFerromagnetismQuantum mechanicsMathematicsThermodynamics

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Publication Info

Year
1975
Type
article
Volume
11
Issue
5
Pages
1986-1995
Citations
10
Access
Closed

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C. Bagnuls, C. Joukoff-Piette (1975). Linewidth in exchange anisotropic paramagnets at the critical point. Physical review. B, Solid state , 11 (5) , 1986-1995. https://doi.org/10.1103/physrevb.11.1986

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DOI
10.1103/physrevb.11.1986