General Formalism for Magnetic Anisotropy Constants

Abstract

Direct expressions for the magnetic anisotropy constants are given at a finite temperature from microscopic viewpoints. In the present derivation, it is assumed that the Hamiltonian is a linear function with respect to the magnetization direction. We discuss in detail the first-order constant $K_1$ and show that the results reproduce previous results. We also apply our method to Nd${}_2$Fe${}_{14}$B compounds and demonstrate that the temperature dependencies of the magnetocrystalline anisotropy constants $K_1$, $K_2$, and $K_3$ are successfully computed.

11pages, 2 figures

References in corpus (6)

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• Realization of the thermal equilibrium in inhomogeneous magnetic systems by the Landau-Lifshitz-Gilbert equation with stochastic noise, and its dynamical aspects
• Improvement of magnetic hardness at finite temperatures: ab initio disordered local moment approach for YCo${}_5$
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Cited by in corpus (8)

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• Temperature Dependence of Magnetocrystalline Anisotropy in Itinerant Ferromagnets
• Theoretical Study of Temperature Dependence of Spin Susceptibility in Anisotropic Itinerant Ferromagnets
• Noncollinearity effects on magnetocrystalline anisotropy for $R_2$Fe${}_{14}$B magnets
• Voltage- and temperature-dependent rare-earth dopant contribution to the interfacial magnetic anisotropy
• Analytic Expression for Magnetic Activation Energy