Observation of Incompressibility at $\nu=4/11$ and $\nu=5/13$

The region of filling factors $1 / 3 < ν < 2 / 5$ is predicted to support new types of fractional quantum Hall states with topological order different from that of the Laughlin-Jain or the Moore-Read states. Incompressibility is a necessary condition for the formation of such novel topological states. We find that at 6.9~mK incompressibility develops only at $ν = 4 / 11$ and $5 / 13$ , while the states at $ν = 6 / 17$ and $3 / 8$ remain compressible. Our observations at $ν = 4 / 11$ and $5 / 13$ are first steps towards understanding emergent topological order in these fractional quantum Hall states.

Observation of Incompressibility at $ν = 4 / 11$ and $ν = 5 / 13$

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Observation of Incompressibility at $ν = 4 / 11$ and $ν = 5 / 13$

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Observation of Incompressibility at ν=4/11ν=4/11 and ν=5/13ν=5/13

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Observation of Incompressibility at ν=4/11ν=4/11 and ν=5/13ν=5/13

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Observation of Incompressibility at $ν = 4 / 11$ and $ν = 5 / 13$

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Observation of Incompressibility at $ν = 4 / 11$ and $ν = 5 / 13$

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