Composite-Fermion picture for the spin-wave excitation in the fractional quantum hall system

The spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall system at the Landau level filling of ν=1(2m+1) is shown, by comparing with the exact numerical result for finite systems, to be accurately described, for wavelengths exceeding the magnetic length, in terms of the composite-fermion picture for the spin-wave (magnon) theory formulated in the spherical geometry. This indicates that the composite-fermion approach extends to excited states and also provides the spin stiffness in terms of exchange interaction with transformed interparticle interactions.