Nonreciprocity of spin waves in the conical helix state
conical helix state is realized with a modulation vector Q ≈ 105 μm in Cu 2OSeO 3 corresponding to a wavelength λ = 2π Q ≈ 60 nm. Due to this periodicity, the dispersion of conical spin waves is back-folded giving rise to a spin wave Brillouin zone of size Q (see Fig. 1D). As a result, two conical spin waves (helimagnons) with