Fractional Quantum Hall Effect in the Second Landau Level

Details Fractional Quantum Hall Effect in the Second Landau Level Fractional Quantum Hall Effect in the Second Landau Level

2007-07-02

arxiv.org/abs/0707.0236v2

Phys. Rev. B 77, 081301(R) (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.77.081301

We present activation gap measurements of the fractional quantum Hall effect (FQHE) in the second Landau level. Signatures for 14 (5) distinct incompressible FQHE states are seen in a high (low) mobility sample with the enigmatic 5/2 even denominator FQHE having a large activation gap of $\sim$600 ($\sim$300mK) in the high (low) mobility sample. Our measured large relative gaps for 5/2, 7/3, and 8/3 FQHE indicate emergence of exotic FQHE correlations in the second Ladau level, possibly quite different from the well-known lowest Landau level Laughlin correlations. Our measured 5/2 gap is found to be in reasonable agreement with the theoretical gap once finite width and disorder broadening corrections are taken into account.

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