Abstract
We calculated the spin-gap enhancement in the \ensuremath{\nu}=1 quantum Hall liquid using a variational quantum Monte Carlo approach. The approach goes beyond the usual lowest-Landau-level approximation. A significant (\ensuremath{\sim}50% at ${\mathit{r}}_{\mathit{s}}$=2) reduction in the single spin-flip gap due to Landau-level mixing is found for typical experimental situations. Final-state effects and the finite thickness of the electron gas are conveniently included in our formalism, and satisfactorily explain recent photoluminescence experiments on \ensuremath{\delta}-doped samples.
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