Berry Curvature For Coupled Waves Of Magnons And Electromagnetic Waves
PHYSICAL REVIEW B(2020)
摘要
In this paper, we introduce Berry curvature, topological Chern number, and topological chiral edge mode that emerge from a hybridization between magnon and electromagnetic wave in a ferromagnet insulator. By focusing on the energy conservation, we first reformulate the Landau-Lifshitz-Maxwell equation into a Hermitian eigenvalue equation. From the eigenvalue equation, we define the Berry curvature of the magnon-photon coupled waves. We show that the Berry curvature thus introduced shows a prominent peak around a hybridization point between magnon mode and photon mode, and a massive hybrid mode takes a nonzero Chern number (+/- 1) due to the magnon-photon coupling. In accordance with the nonzero Chern number, the topological edge modes emerge inside the hybridization gap at a domain wall between two ferromagnetic insulators with opposite magnetizations.
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