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The enigma of the ν=2+frac{3}{8} fractional quantum Hall effect

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arxiv 1605.07324 v3 pith:KGZ3AMMB submitted 2016-05-24 cond-mat.mes-hall cond-mat.str-el

The enigma of the ν=2+frac{3}{8} fractional quantum Hall effect

classification cond-mat.mes-hall cond-mat.str-el
keywords beeneffectfractionalfunctionhallquantumstatewave
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The fractional quantum Hall effect at $\nu=2+3/8$, which has been definitively observed, is one of the last fractions for which no viable explanation has so far been demonstrated. Our detailed study suggests that it belongs to a new class of of exotic states described by the Bonderson-Slingerland wave function. Its excitations are non-Abelian anyons similar to those of the well studied Pfaffian state at 5/2, but its wave function has a more complex structure. Using the effective edge theory, we make predictions for various measurable quantities that should enable a confirmation of the underlying topological order of this state.

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  1. Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies

    hep-th 2026-07 accept novelty 7.0

    An order-five Sp(4,Z) duality acts projectively on 3d U(1)^2 theories, and its hierarchy operations generate candidate bilayer quantum Hall states at 3/8+3/8 and 5/12+5/12.