Domain-Wall Waves (2D Magnons) in Superconducting Ferromagnets

Propagation of the magnetization waves along domain walls (2D magnons) in a superconducting ferromagnet has been studied theoretically. The magnetostatic fields (long-range dipole-dipole interaction) have a crucial effect on the spectrum of 2D magnons. But this effect is essentially affected by the superconducting Meissner currents, which screen the magnetostatic fields and modify the long-wavelength spectrum from square-root to linear. The excitation of the domain wall waves by an electromagnetic wave incident on a superconducting-ferromagnet sample has been considered. This suggests using measurements of the surface impedance for studying the domain wall waves, and eventually for effective probing of superconductivity-ferromagnetism coexistence.