Scaling of tunneling conductance at the ν = 1/3 fractional quantum Hall edge

We measure anyon tunneling conductance between counterpropagating edge modes at the ν = 1/3 fractional quantum Hall state in the weak backscattering limit. This is done by measuring the differential conductance through a quantum point contact (QPC) fabricated on a GaAs screening well heterostructure, while varying electron temperature, DC bias voltage, and the transmission of the QPC. These three experimental parameters determine the important energy scales. Within the framework of chiral Luttinger liquid (CLL) theory, the tunneling conductance is a function of only the ratios of these energy scales. Variation of QPC transmission is used to tune the tunnel coupling between the counterpropagating edge modes. We first fix the transmission and vary the DC bias voltage and the temperature. When the tunneling conductance is plotted against the ratio of these two quantities, we observe a universal scaling collapse that is maintained over an order of magnitude. Next we fix the temperature and vary the transmission to observe a scaling collapse in the zero DC bias tunneling conductance as a function of the ratio of the temperature and the transmission. The robustness of this scaling is demonstrated by reproducing the measurement and analysis at different values of magnetic field within the ν = 1/3 plateau. Our measurements are strong indication of universal CLL behavior of the ν = 1/3 edge mode.