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Thin ferromagnetic films can possess unconventional magnetic properties,opening a new road for using them in spintronic technologies. In the presentwork exploiting three different methods, we comprehensively analyze phasonexcitations of a skyrmion lattice in synthetic antiferromagnets. To analyzephason excitations of the skyrmion lattice, we have constructed an analyticalmodel based on three coupled helices and found a linear gapless mode.Micromagnetic simulations also support this result. Moreover, a similar resulthas been achieved within the rigid skyrmion lattice model based on the coupledThiele's equations, when the coupling between skyrmions in different layers ofthe synthetic antiferromagnetic is comparable to or larger than the intralayercoupling. In addition, we also consider the orbital angular momentum and spinpumping current associated with phason excitations. Due to the gaplessexcitations in the case of skyrmion lattice, the pumping current is nonzero forthe arbitrary frequency of pumping microwaves. In the case of individualskyrmions, no current is pumped when microwave frequency is inside the gap ofthe spectrum of individual skyrmions.

Skyrmion lattice hosted in synthetic antiferromagnets and helix modes