Datesets for 'Topological Protection in a Landau Flat Band at v=7/11, a Candidate Filling Factor for Unconventional Correlations'

All data sets generated and analyzed during the current study, as presented in the manuscript titled “Topological Protection in a Landau Flat Band at ν = 7/11, a Candidate Filling Factor for Unconventional Correlations”. This study reports the observation of a fractional quantum Hall state at v=7/11. While the nearby filling factors 11/17/, 5/8 and 8/13 remain compressible. The incompressibility at v=7/11 is evidenced by nearly vanishing Rxx, nearly perfect quantization and opening of the energy gap which is 21mK in the sample studied. In this study, the data is collected in two thermal cycles. The lowest temperature data is taken when the sample is mounted on a helium 3 immersion cell while the higher temperature data is taken when sample thermalization is done through measurement wires. A density change of 0.5% is observed between two cooldowns. To aid visual analysis, the lowest temperature data is rescaled by the same amount. In our analysis of Rxx data in Fig.3 and Fig.4, a small magnetic field dependent offset was subtracted. Figure 1: Longitudinal magnetoresistance and Hall resistance as plotted against the applied magnetic field B for the region of the lowest Landau level. Data were taken at 7.6 mK. Several Landau level filling factors of interest are marked, including v=7/11. Figure 2: The magnetoresistance and the Hall resistance in the magnetic field range between 5.90 T and 6.95 T as measured at four selected values of the temperature. Local minima in Rxx are observed at the filling factors v= 7/11, 8/13, 11/17 and 5/8. Figure 3: Arrhenius plot for the computation of energy gap. The dotted line is a linear fit to the data at the lowest temperatures. The extracted energy gap is 21 mK. Figure 4: The temperature dependence of the magnetoresistance at four selected values of the Landau level filling factor. Lines are guides to the eye. At the lowest temperatures, Rxx measured at v=7/11 decreases as function of T. In contrast, Rxx measured at the other the filling factors increases when the temperature is lowered.