Multiscale modeling of magnetic materials: Temperature dependence of the exchange stiffness
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For finite-temperature micromagnetic simulations the knowledge of the temperature dependence of the exchange stiffness plays a central role. We use two approaches for the calculation of the thermodynamic exchange parameter from spin models: (i) based on the domain-wall energy and (ii) based on the spin-wave dispersion. The corresponding analytical and numerical approaches are introduced and compared. A general theory for the temperature dependence and scaling of the exchange stiffness is developed using the classical spectral density method. The low-temperature exchange stiffness A is found to scale with magnetization as m1.66 for systems on a simple cubic lattice and as m1.76 for an FePt Hamiltonian parametrized through ab initio calculations. The additional reduction in the scaling exponent, as compared to the mean-field theory (A~ m2), comes from the nonlinear spin-wave effects.
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ATXITIA, Unai, Denise HINZKE, Oksana CHUBYKALO-FESENKO, Ulrich NOWAK, Hamid KACHKACHI, Oleg N. MRYASOV, Richard Francis L. EVANS, Roy W. CHANTRELL, 2010. Multiscale modeling of magnetic materials: Temperature dependence of the exchange stiffness. In: Physical Review B. 2010, 82(13), 134440. ISSN 1098-0121. eISSN 1550-235X. Available under: doi: 10.1103/PhysRevB.82.134440BibTex
@article{Atxitia2010Multi-943, year={2010}, doi={10.1103/PhysRevB.82.134440}, title={Multiscale modeling of magnetic materials: Temperature dependence of the exchange stiffness}, number={13}, volume={82}, issn={1098-0121}, journal={Physical Review B}, author={Atxitia, Unai and Hinzke, Denise and Chubykalo-Fesenko, Oksana and Nowak, Ulrich and Kachkachi, Hamid and Mryasov, Oleg N. and Evans, Richard Francis L. and Chantrell, Roy W.}, note={Article Number: 134440} }
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