  Ferromagnet/superconductor heterostructures allow for the combination of
unique physical phenomena offered by the both fields of magnetism and
superconductivity. It was shown recently that spin waves can be efficiently
scattered in such structures by a lattice of static or moving magnetic flux
quanta (Abrikosov vortices), resulting in bandgaps in the spin-wave spectra.
Here, we realize a nonreciprocal motion of a vortex lattice in nanoengineered
symmetric and asymmetric pinning landscapes and investigate the non-reciprocal
scattering of magnons on fluxons. We demonstrate that the magnon bandgap
frequencies can be tuned by the application of a low-dissipative transport
current and by its polarity reversal. Furthermore, we exploit the rectifying
(vortex diode or ratchet) effect by the application of a 100 MHz-frequency ac
current to deliberately realize bandgap up- or downshifts during one ac
halfwave while keeping the bandgap frequency constant during the other ac
halfwave. The investigated phenomena allow for the realization of
energy-efficient hybrid magnonic devices, such as microwave filters with an
ultra-high bandgap tunability of 10 GHz/mA and a fast modulation of the
transmission characteristics on the 10 ns time scale.
