First-Principles Study of Exchange Interactions of Yttrium Iron Garnet

Abstract

Yttrium Iron Garnet is the ubiquitous magnetic insulator used for studying pure spin currents. The exchange constants reported in the literature vary considerably between different experiments and fitting procedures. Here we calculate them from first-principles. The local Coulomb correction (U - J) of density functional theory is chosen such that the parameterized spin model reproduces the experimental Curie temperature and a large electronic band gap, ensuring an insulating phase. The magnon spectrum calculated with our parameters agrees reasonably well with that measured by neutron scattering. A residual disagreement about the frequencies of optical modes indicates the limits of the present methodology.

arXiv comment8 pages, 5 figures

References in corpus (9)

• Spin Caloritronics
• Spin Seebeck insulator
• Long distance transport of magnon spin information in a magnetic insulator at room temperature
• Theory of magnon-driven spin Seebeck effect
• Ab-initio calculations of exchange interactions, spin-wave stiffness constants, and Curie temperatures of Fe, Co, and Ni
• Spin transfer torque on magnetic insulators
• Thermal spin dynamics of yttrium iron garnet
• Long range pure magnon spin diffusion observed in a non-local spin-Seebeck geometry
• First-principles study of the lattice and electronic structures of TbMn${}_2$O${}_5$

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