High-magnetic-field transport in a dilute two-dimensional electron gas

Abstract

We report the measurement, at 0.51 K and up to 28 T, of the magnetoresistance and Hall resistance of a dilute two-dimensional electron system with 6\ifmmode\times\else\texttimes\fi{}${10}^{10}$ ${\mathrm{cm}}^{\ensuremath{-}2}$ carriers in a GaAs-GaAlAs heterojunction. The existence of an anomalous quantized Hall effect for a fractional Landau-level filling factor of $\frac{1}{3}$ was confirmed. The magnetoresistance showed a substantial deviation from linearity above 18 T and exhibited no additional features for filling factors below $\frac{1}{5}$ down to $\frac{1}{11}$. The results suggest that a transition from a quantum liquid to a crystalline state may take place.