Resonant translational, breathing and twisting modes of pinned   transverse magnetic domain walls
  We study translational, breathing and twisting resonant modes of transverse magnetic domain walls pinned at notches in ferromagnetic nanostrips. We demonstrate that a mode's sensitivity to notches depends strongly on the characteristics of that particular resonance. For example, the frequencies of modes involving lateral motion of the wall are the ones which are most sensitive to changes in the notch intrusion depth (especially at the narrower, more strongly confined end of the domain wall). In contrast, the breathing mode, whose dynamics are concentrated away from the notches is relatively insensitive to changes in the notches' sizes. We also demonstrate a sharp drop in the translational mode's frequency towards zero when approaching depinning which is found, using a harmonic oscillator model, to be consistent with a reduction in the local slope of the notch-induced confining potential at its edge. 
Peter J. Metaxas, Maximilian Albert, Steven Lequeux, Vincent Cros,   Julie Grollier, Paolo Bortolotti, Abdelmadjid Anane, Ha...
cond-mat.mes-hall