Boltzmann approach to the longitudinal spin Seebeck effect

Abstract

We develop a Boltzmann transport theory of coupled magnon-phonon transport in ferromagnetic insulators. The explicit treatment of the magnon-phonon coupling within the Boltzmann approach allows us to calculate the low-temperature magnetic-field dependence of the spin-Seebeck voltage. Within the Boltzmann theory we find that this magnetic field dependence shows similar features as found by Flebus et al. [Phys. Rev. B 95, 144420 (2017)] for a strongly coupled magnon phonon system that forms magnon-polarons, and consistent with experimental findings in yttrium iron garnet by Kikkawa et al. [Phys. Rev. Lett. 117, 207203 (2016)]. In addition to the anomalous magnetic-field dependence of the spin Seebeck effect, we also predict a dependence on the system size.

arXiv comment12 pages

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• Spin and spin current -- From fundamentals to recent progress
• Spin Seebeck Effect: Sensitive Probe for Elementary Excitation, Spin Correlation, Transport, Magnetic Order, and Domains in Solids
• Angular Momentum Conservation and Phonon Spin in Magnetic Insulators
• Room temperature and low-field resonant enhancement of spin Seebeck effect in partially compensated magnets
• Magnon polarons in the spin Peltier effect
• Role of Magnon-Magnon Scattering in Magnon Polaron Spin Seebeck Effect
• Theory of spin-Hall magnetoresistance in the AC (terahertz) regime
• Composition-tunable magnon-polaron anomalies in spin Seebeck effects in epitaxial Bi${}_x$Y${}_{3-x}$Fe${}_5$O${}_{12}$ films
• Theory of the low-temperature longitudinal spin Seebeck effect
• Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime
• Magnonic thermal transport using the quantum Boltzmann equation
• QCD analysis of CMS W + charm measurements at LHC with \sqrt s = 7TeV and implications for the strange PDF
• Magnon-polaron formation in XXZ quantum Heisenberg chains
• Finite-frequency spin conductance of a ferro-/ferrimagnetic-insulator|normal-metal interface