Berry curvature for coupled waves of magnons and electromagnetic waves
arXiv:2005.01105 · doi:10.1103/PhysRevB.102.064419
Abstract
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 non-zero Chern number () due to the magnon-photon coupling. In accordance with the non-zero Chern number, the topological edge modes emerge inside the hybridization gap at a domain wall between two ferromagnetic insulators with opposite magnetizations.
arXiv comment10 pages, 4 figures
References in corpus (28)
- Berry Phase Effects on Electronic Properties
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Analogs of quantum Hall effect edge states in photonic crystals
- Strongly coupled magnons and cavity microwave photons
- Hall Effect of Light
- Hybridizing ferromagnetic magnons and microwave photons in the quantum limit
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
- Observation of the Magnon Hall Effect
- Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
- Theoretical prediction of rotating magnon wavepacket in ferromagnets
- Topological chiral magnonic edge mode in a magnonic crystal
- Topological Magnon Insulator in Insulating Ferromagnet
- Topological Polaritons
- Rotational motion of magnon and thermal Hall effect
- Exchange Magnon-Polaritons in Microwave Cavities
- Chiral spin-wave edge modes in dipolar magnetic thin films
- Topological magnetoplasmon
- Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect
- Study of strong photon-magnon coupling in a YIG-film split-ring resonant system
- Topological Magnon-Phonon Hybrid Excitations in Two-Dimensional Ferromagnets with Tunable Chern Numbers
- Geometrical Aspects in Optical Wavepacket Dynamics
- Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
- SU(3) Topology of Magnon-Phonon Hybridization in 2D Antiferromagnets
- Topological Magnetoelastic Excitations in Non-Collinear Antiferromagnets
- Backscattering immunity of dipole-exchange magnetostatic surface spin waves
- Magnetic field control of topological magnon-polaron bands in two-dimensional ferromagnets
- Magnetically-defined topological edge plasmons in edgeless electron gas