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arXiv · 1605.07324

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

Jimmy A. Hutasoit·Ajit C. Balram·Sutirtha Mukherjee·Ying-Hai Wu·Sudhansu S. Mandal·A. Wojs·Vadim Cheianov·J. K. Jain
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Abstract

The fractional quantum Hall effect at $ν=2+3/8$, 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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Jimmy A. Hutasoit, Ajit C. Balram, Sutirtha Mukherjee, Ying-Hai Wu, Sudhansu S. Mandal, A. Wojs, Vadim Cheianov, J. K. Jain. 2017-03-03. The enigma of the $ν=2+\frac{3}{8}$ fractional quantum Hall effect. https://doi.org/10.1103/physrevb.95.125302

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