Figure 1

(Color online) (a) Magnetoresistance ($R_{xx}$, dashed line) and Hall resistance ($R_{xy}$, solid line) as a function of the perpendicular magnetic field. The inset shows the filling factor vs the inverse magnetic field position of the minima in $R_{xx}$. (b) Fan chart of the low-energy spin-split Landau levels vs $B$. The first longitudinal, second longitudinal, and first oblique subbands are represented with the solid/dashed lines associated with the down/up spins. The thick solid line is the calculated position of the Fermi energy. (c) Computed magnetoresistance (dotted curve) and inverse Hall resistance (dashed curve) as a function of the magnetic field. The thin $1∕R_{xy}$ solid curve is the experimental data.Reuse & Permissions

Figure 2

(Color online) (a) Arrhenius plot for filling factors $\nu =10$, 6, and 5 occurring at $B=10.2$, 15.7, and 20.4 T. The solid lines are least-squares fits. (b) The same data plotted as $\Delta R_{xx}∕R_{\max }$ vs $T$ for $\nu =10$ and 6. The solid lines are least-squares fits to the Lifshitz-Kosevich formula as described in the text. (c) Magnetic-field dependence of the longitudinal resistance $R_{xx}$ for increasing temperatures from 4 to 76 K. The inset shows the mobility as a function of the temperature (note the log scales for both axes). The solid line shows a $T^{-3∕2}$ dependence.Reuse & Permissions

Figure 3

(Color online) Longitudinal (a) and inverse Hall (b) resistances as a function of the perpendicular field for various tilt angles. A schematic of the setup of the rotation experiment is drawn in the inset, where $\theta$ is the angle between the applied field and the normal to the 2D plane.Reuse & Permissions