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.

8 pages, 5 figures

References in corpus (4)

• Spin Seebeck insulator
• Theory of magnon-driven spin Seebeck effect
• Thermal spin dynamics of yttrium iron garnet
• First-principles study of the lattice and electronic structures of TbMn${}_2$O${}_5$

Cited by in corpus (17)

• Magnon-phonon interactions in magnetic insulators
• Direct observation of magnon-phonon coupling in yttrium iron garnet
• Magnon-phonon relaxation in yttrium iron garnet from first principles
• Electric Field Switching of Magnon Spin Current in a Compensated Ferrimagnet
• Magnon quantum anomalies in Weyl ferromagnets
• Strain-Tunable Magnetic Compensation Temperature of Epitaxial Tb${}_3$Fe${}_5$O${}_{12}$ Thin Films
• Theory of the low-temperature longitudinal spin Seebeck effect
• Magnon hybridization in ferrimagnetic heterostructures
• Ultrafast Optomagnonics in Ferrimagnetic Multi-Sublattice Garnets
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Understanding spin currents from magnon dispersion and polarization: Spin-Seebeck effect and neutron scattering study on Tb3Fe5O12
• Neutron Scattering Study on Yttrium Iron Garnet for Spintronics
• Charge transfer transitions and circular magnetooptics in ferrites
• Interband magnon drag in ferrimagnetic insulators
• Ferromagnetic interface engineering of spin-charge conversion in RuO${}_2$
• Mechanism for a Chemical Potential of Nonequilibrium Magnons in Parametric Parallel Pumping
• Unified theory of magnetization temperature dependence in ferrimagnets