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Nonconventional odd denominator fractional quantum Hall states in the second Landau level

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arxiv 1009.0237 v2 pith:K7XN67FJ submitted 2010-09-01 cond-mat.mes-hall cond-mat.str-el

A. Kumar , M.J. Manfra , G.A. Csáthy , L.N. Pfeiffer , K.W. West This is my paper · ORCID
classification cond-mat.mes-hallcond-mat.str-el
keywords stateslandaulevelmodelexoticfractionalgapshall
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abstract

We report the observation of a new fractional quantum Hall state in the second Landau level of a two-dimensional electron gas at the Landau level filling factor $\nu=2+6/13$. We find that the model of noninteracting composite fermions can explain the magnitude of gaps of the prominent 2+1/3 and 2+2/3 states. The same model fails, however, to account for the gaps of the 2+2/5 and the newly observed 2+6/13 states suggesting that these two states are of exotic origin.omposite fermion model. However, the weaker 2+2/5 and 2+6/13 states deviate significantly suggesting that these states are of exotic origin.

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Cited by 2 Pith papers

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  1. Doping lattice non-abelian quantum Hall states

    cond-mat.str-el 2025-05 conditional novelty 8.0 of 10

    Doping lattice Read-Rezayi states with their minimal non-abelian anyons gives charge-2 or charge-k superconductors for even k, and for odd k either superconductivity or a charge-k Fermi liquid with period-(k+2) charge...

  2. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

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