Spin relaxation in GaAs-AlxGa1−xAs heterostructures in high magnetic fields

We consider spin-polarized GaAs-${\mathrm{Al}}_{\mathit{x}}$ ${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As heterostructures in high magnetic fields at zero temperature. We calculate the contribution of the phonon emission to the spin-relaxation time ${\mathit{T}}_1$ of the electrons in spatially localized states. We emphasize the relationship of this problem to the experiments of Dobers, von Klitzing, and Weimann [Phys. Rev. B 38, 5453 (1988)].