Abstract
We introduce a new approach to understand magnetization dynamics in ferromagnets based on the holographic realization of ferromagnets. A Landau-Lifshitz equation describing the magnetization dynamics is derived from a Yang-Mills equation in the dual gravitational theory, and temperature dependences of the spin-wave stiffness and spin transfer torque appearing in the holographic Landau-Lifshitz equation are investigated by the holographic approach. The results are consistent with the known properties of magnetization dynamics in ferromagnets with conduction electrons.
Highlights
INTRODUCTIONThe Landau-Lifshitz equation [1] is the fundamental equation for describing the dynamics of magnetization (density of magnetic moments) in various magnetic materials
The Landau-Lifshitz equation [1] is the fundamental equation for describing the dynamics of magnetization in various magnetic materials
A Landau-Lifshitz equation describing the magnetization dynamics is derived from a Yang-Mills equation in the dual gravitational theory, and temperature dependences of the spin-wave stiffness and spin transfer torque appearing in the holographic Landau-Lifshitz equation are investigated by the holographic approach
Summary
The Landau-Lifshitz equation [1] is the fundamental equation for describing the dynamics of magnetization (density of magnetic moments) in various magnetic materials. The holographic duality is known to be a strong-weak duality, which relates strongly correlated quantum systems to classical gravitational theories From these viewpoints, the holographic approach can provide new useful tools to analyze nonequilibrium and nonlinear dynamics of magnetization in ferromagnets. We derive a Landau-Lifshitz equation for magnetization dynamics from the Yang-Mills equation within the holographic realization of ferromagnets. This derivation can provide novel perspectives for magnetization dynamics from the non-Abelian gauge theory.
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