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Synthetic antiferromagnets (SAFs) recently attracted a lot of attention in the magnonics community, as they can provide additional degrees of freedom for spin wave dispersion engineering compared to conventional ferromagnetic systems.1–8 One of the most prominent features of dispersion relation in SAFs is non-reciprocity caused by the dipolar field interaction between the layers.9–15 Spin wave non-reciprocity and symmetry breaking in material systems are of fundamental interest and can also be exploited in practical magnonic applications, such as diodes or circulators.16 Non-reciprocal dispersion can be achieved also in ferromagnets, e.g., by exploiting interfacial effects17–20 or current induced Doppler shift.21,22 However, the non-reciprocity in SAFs is much more pronounced. Another way to create non-reciprocal spin-wave system is to use a grating coupler,14,23 but these systems can be tuned only to a specific k-vector and frequency. Nevertheless, the methodology for modeling spin waves in SAF's is not fully developed, and not all consequences of nonreciprocal dispersion relation are explored.

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In this paper, we report on the observation of smooth, monotonous, and steep spin wave dispersion in the vicinity of point (k = 0) in SAFs. This property leads to unidirectional spin wave propagation over a wide range of frequencies. The group velocity points in the same direction at both sides of the point, whereas the phase velocity is reversed upon the point crossing [see Fig. 1(a)], resulting in a situation where we can observe unidirectional energy flow with two opposing phase velocities (wavevectors). The smooth, monotonous, and steep dispersion causes that even zero-momentum spin waves (with k = 0) propagate with nonzero group velocity. This phenomenon exhibits itself as a change of the sign of phase evolution for the same direction of the spin wave propagation and is directly observed by phase-resolved Brillouin light scattering (BLS) microscopy.24 

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