Correlating scattering parameters with the quality of the 5/2 fractional quantumHall state
The 5/2 fractional quantum Hall state is believed to possess excitations with non-Abelian braiding statistics. These non-Abelian excitations can be potentially utilized in schemes of topologically protected quantum computation. One of the main challenges of making viable qubits using the 5/2 state is that the activation gap of the state is small, around 600mK in the best samples. Historically zero magnetic field mobility at T=0.3K has been used as the primary indicator of sample quality, and by extension, has been used to decide which samples are best suited for investigation of the fractional quantum Hall effect. However, the size of the excitation gap for the 5/2 state does not appear to correlate particularly well with zero-field mobility. In order to better characterize samples that are intended to be used in experiments in the 2nd Landau level, we systematically study several transport parameters at T=0.3K including mobility, quantum scattering time, and a resistivity defined at 5/2. Our data suggests that by studying these parameters one can better predict which samples will display strong featuresat 5/2. This study also has the potential to provide understanding of the various disorders that limit the 5/2 gap.