Fig. 4: Scaling exponent in the ES regime for ν =  3 + 2/5 to 3 + 3/7 transition. | Nature Communications

Fig. 4: Scaling exponent in the ES regime for ν =  3 + 2/5 to 3 + 3/7 transition.

From: Universality of quantum phase transitions in the integer and fractional quantum Hall regimes

Fig. 4

a Plots of the T-dependence of Gxx versus filling factor ν for two FQH states between ν = 3 and ν = 4. The black box marks the region where the ES analysis was carried out. b Fit of ES Eq. (4) (dotted lines) to the Gxx data for the transition from ν = 3 + 2/5 and ν = 3 + 3/7. Each set of data points is for a given value of δν=ννc with νc = 3.416. The plots deviate from the expected ES behavior at high T (the region is marked with an ellipse). c Plots of T0 versus δνCF. The dotted line is a linear fit to the data (see Eq. (5)). The slope yields the value of γ. The error bars are determined from the least square fits to the data in (b). d Plot of scaled longitudinal conductance Gxx/s as a function of scaling parameter s = δνγ/T for PT between ν = 17/5 and ν = 24/7. The scatter points of different colors are for different values of δν, and the solid black line is fit to Eq. (6).

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