Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State

Details Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State

2008-01-22

arxiv.org/abs/0801.3312v2

Phys. Rev. Lett. 100, 146803 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures; typo corrected, comment expanded

Scientific paper

10.1103/PhysRevLett.100.146803

The fractional quantum Hall effect is observed at low field, in a regime where the cyclotron energy is smaller than the Coulomb interaction. The nu=5/2 excitation gap is measured to be 262+/-15 mK at ~2.6 T, in good agreement with previous measurements performed on samples with similar mobility, but with electronic density larger by a factor of two. The role of disorder on the nu=5/2 gap is examined. Comparison between experiment and theory indicates that a large discrepancy remains for the intrinsic gap extrapolated from the infinite mobility (zero disorder) limit. In contrast, no such large discrepancy is found for the nu=1/3 Laughlin state. The observation of the nu=5/2 state in the low-field regime implies that inclusion of non-perturbative Landau level mixing may be necessary to better understand the energetics of half-filled fractional quantum hall liquids.

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