# Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz Equation from Yang-Mills Fields

## TL;DR

This paper presents a holographic approach to model magnetization dynamics in ferromagnets, deriving a Landau-Lifshitz equation from Yang-Mills fields and analyzing temperature effects on key magnetic properties.

## Contribution

It introduces a novel holographic framework to derive magnetization dynamics equations from gravitational duals, linking gauge theories with ferromagnetic behavior.

## Key findings

- Temperature dependence of spin-wave stiffness analyzed
- Spin transfer torque behavior studied holographically
- Results align with known ferromagnetic properties

## 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.