Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime

Abstract

We have studied the $\nu =5/2$ fractional quantum Hall state in a density-tunable sample at extremely low electron densities. For the densities accessed in our experiment, the Landau level mixing parameter $\kappa$ spans the $2.52<\kappa <2.82$ range. In the vicinity of $5.8\times 10^{10}$~cm${}^{-2}$ or $\kappa =2.6$ an anomalously large change in the density dependence of the energy gap is observed. Possible origins of such an anomaly are discussed, including a topological phase transition in the $\nu =5/2$ fractional quantum Hall state.

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