Temperature Dependence of Magnetocrystalline Anisotropy in Itinerant Ferromagnets

preprint2022arXivOpen access

Abstract

We theoretically investigated magnetocrystalline anisotropy (MA) at a finite temperature TT in ferromagnetic metals. Assuming a Rashba-type ferromagnet with uniaxial MA, we defined the MA constants Ku(T)K_\mathrm{u}(T) derived from several different concepts. Our purpose was to examine the equality between them and to confirm a power law between Ku(T)K_\mathrm{u}(T) and magnetization M(T)M(T) in the form of Ku(T)/Ku(0)=[M(T)/M(0)]αK_\mathrm{u}(T)/K_\mathrm{u}(0)=[M(T)/M(0)]^α. We demonstrate that αα equals 2 in the itinerant-electron limit and increases with the localized feature of electrons passing through α=3α=3, predicted for the single-ion MA in spin models.

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