Abstract
Ferromagnetic nanowires (NWs), fabricated either individually or in interacting arrays, have recently generated much attention for their spin-wave (SW) properties due to both their technical applications and fundamental scientific interest. This chapter presents a theoretical study of dipole exchange SWs in ferromagnetic nanostructures. A simple model of monodimension magnonic crystals corresponds to a lateral arrays of magnetic NWs and nonmagnetic spacers on a nonmagnetic substrate. A microscopic theory is employed, including the exchange and magnetic dipole–dipole interaction terms, together with the Zeeman energy of the applied magnetic field and other interaction terms, as appropriate. Apart from the short-range direct exchange, there may be an indirect exchange that couples magnetic moments in some materials over relatively larger distances. In metals, when there is only weak or no direct overlap of the wave functions of neighboring electrons, this indirect exchange becomes important.
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