The spin-exciton band structure in a periodically modulated two-dimens
ional electron gas, under strong magnetic fields, is shown to be unusu
ally rich due to the peculiar nature of the free exciton dispersion la
w. It is found that the periodic modulation potential can distort the
single spin excitonic state so strongly that the energy gap in the spe
ctrum disappears. It is argued that these gapless spin excitons radica
lly affect the nuclear spin transport in the heterojunction via the hy
perfine interaction and may condense into a collective spin density wa
ve ground state.