Dynamics of the compact, ferromagnetic ν = 1 edge

We consider the edge dynamics of a compact, fully spin-polarized state at filling factor $\ensuremath{\nu}=1.$ We show that there are two sets of collective excitations localized near the edge: the much studied, gapless, edge magnetoplasmon but also an additional edge spin wave that splits off below the bulk spin wave continuum. We show that both of these excitations can soften at finite wave vectors as the potential confining the system is softened, thereby leading to edge reconstruction by spin texture or charge density wave formation. We note that a commonly employed model of the edge confining potential is nongeneric in that it systematically underestimates the texturing instability.