One-dimensional gapless magnons in a single anisotropic ferromagnetic nanolayer. 
Gapless magnons in a plane ferromagnet with normal axis anisotropy are shown to exist besides the usual gapped modes that affect spin dependent transport properties only above a finite temperature.  These magnons are one-dimensional objects, in the sense that they are localized inside the domain walls that form in the film.  They may play an essential role in the spin dependent scattering processes even down to very low temperatures.