Magnetization dynamics in holographic ferromagnets; Landau-Lifshitz equation from Yang-Mills fields

ホログラフィック強磁性体の磁化ダイナミクス; ヤン-ミルズ場からのランダウ-リフシッツ方程式

横井 直人*; 佐藤 浩司*; 齊藤 英治

Yokoi, Naoto*; Sato, Koji*; Saito, Eiji

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.