The intense research on this topic is fueled not only by fundamental interest but also by the new possibilities and functionalities accomplished by structuring the spatial distributions of the waves. Similar arguments apply to matter fields 3, 4, 5. ![]() The external orbital angular momentum (OAM) is origin dependent and is obtained from the photonic angular momentum density L γ = r γ × P γ, where r γ is measured with respect to the beam center and P γ is the linear momentum density 6. For instance, a photonic beam can be spatially modulated to have a helical or twisted wavefront embodying a well-defined, internal, meaning origin-independent, orbital angular momentum. Recently, the spatial structuring of photonic, electronic, or neutron beams has been demonstrated 1, 2, 3, 4, 5 enabling to encode additional information in the beam spatial distribution. This renders possible OAM-based robust, low-energy consuming multiplex magnonic computing, analogously to using photonic OAM in optical communications, and high OAM-based entanglement studies, but here at shorter wavelengths, lower energy consumption, and ready integration in magnonic circuits. Coupling to an applied electric field via the Aharanov-Casher effect allows for varying the topological charge. A key finding is that the topological charge associated with OAM of a particular beam is tunable externally and protected against magnetic damping. We show how twisted beams emerge in magnonic waveguides and how to topologically quantify and steer them. Here we present new types of spin waves that carry a definite and electrically controllable orbital angular momentum (OAM) constituting twisted magnon beams. ![]() Low-energy eigenmode excitations of ferromagnets are spin waves or magnons that can be triggered and guided in magnonic circuits without Ohmic losses and hence are attractive for communicating and processing information.
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