Magnetization instabilities at tilted magnetic fields in the quantum Hall regime.

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In high-mobility samples, we show that a magnetization instability occurs at filling factor \ensuremath{\nu}=2 in the quantum-Hall-effect regime under the application of a parallel magnetic field. The instability is caused by feedback from the screened exchange energy of the electrons. We perform calculations on ${\mathrm{Ga}}_{\mathit{x}}$${\mathrm{In}}_{1\mathrm{\ensuremath{-}}\mathit{x}}$As-InP heterostructures and show that a surprising jump in the magnetization occurs at experimentally accessible magnetic fields and sample mobilities. This phenomenon is experimentally observable and possible experiments are proposed.