Goldstone mode stochastization in a quantum Hall ferromagnet

Abstract

Experimental and theoretical studies of the coherent spin dynamics of two-dimensional GaAs/AlGaAs electron gas were performed. The system in the quantum Hall ferromagnet state exhibits a spin relaxation mechanism that is determined by many-particle Coulomb interactions. In addition to the spin exciton with changes in the spin quantum numbers of $\ensuremath{\delta}S=\ensuremath{\delta}{S}_{z}=\ensuremath{-}1$, the quantum Hall ferromagnet supports a Goldstone spin exciton that changes the spin quantum numbers to $\ensuremath{\delta}S=0$ and $\ensuremath{\delta}{S}_{z}=\ensuremath{-}1$, which corresponds to a coherent spin rotation of the entire electron system to a certain angle. The Goldstone spin exciton decays through a specific relaxation mechanism that is unlike any other collective spin state.