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Theory of spin magnetohydrodynamics

2008/06/30 by Yaroslav Tserkovnyak, Clement H. Wong · 2 citations
Engineering · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Magnetic properties of thin films #Theoretical and Computational Physics #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.79.014402

published as Phys. Rev. B 79 (2009) 014402 · 6 pages, 1 figure

openalex publication_date 2009/01/05 · arxiv created 2009/01/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a phenomenological hydrodynamic theory of coherent magnetic precession coupled to electric currents. Exchange interaction between electron spin and collective magnetic texture produces two reciprocal effects: spin-transfer torque on the magnetic order parameter and the Berry-phase gauge field experienced by the itinerant electrons. The dissipative processes are governed by three coefficients: the ohmic resistance, Gilbert damping of the magnetization, and the ``\ensuremathβ coefficient'' describing viscous coupling between magnetic dynamics and electric current, which stems from spin mistracking of the magnetic order. We develop general magnetohydrodynamic equations and discuss the net dissipation produced by the coupled dynamics. The latter in particular allows us to determine a lower bound on the magnetic-texture resistivity.

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