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Observation of an even-denominator quantum number in the fractional quantum Hall effect

R. L. WillettMassachusetts Institute of Technology, Cambridge, Massachusetts 02139J. P. EisensteinMassachusetts Institute of Technology, Cambridge, Massachusetts 02139H. L. StörmerMassachusetts Institute of Technology, Cambridge, Massachusetts 02139D. C. TsuiMassachusetts Institute of Technology, Cambridge, Massachusetts 02139A. C. GossardMassachusetts Institute of Technology, Cambridge, Massachusetts 02139J. H. EnglishMassachusetts Institute of Technology, Cambridge, Massachusetts 02139
1987en
ABI

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An even-denominator rational quantum number has been observed in the Hall resistance of a two-dimensional electron system. At partial filling of the second Landau level \ensuremath{\nu}=2+(1/2= 5) / 2 and at temperatures below 100 mK, a fractional Hall plateau develops at ${\mathrm{\ensuremath{\rho}}}_{\mathrm{xy}}$=(h/${\mathrm{e}}^{2}$)/(5/2 defined to better than 0.5%. Equivalent even-denominator quantization is absent in the lowest Landau level under comparable conditions.

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