The enigma of the ν=2+3/8 fractional quantum Hall effect

Jimmy A. Hutasoit; Ajit C. Balram; Sutirtha Mukherjee; Ying Hai Wu; Sudhansu S. Mandal; A. Wójs; Vadim Cheianov; J. K. Jain

doi:10.1103/PhysRevB.95.125302

The enigma of the ν=2+3/8 fractional quantum Hall effect

Jimmy A. Hutasoit, Ajit C. Balram, Sutirtha Mukherjee, Ying Hai Wu, Sudhansu S. Mandal, A. Wójs, Vadim Cheianov, J. K. Jain

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14 Scopus citations

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 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.

Original language	English (US)
Article number	125302
Journal	Physical Review B
Volume	95
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevB.95.125302
State	Published - Mar 2 2017

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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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 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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AU - Cheianov, Vadim

AU - Jain, J. K.

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The enigma of the ν=2+3/8 fractional quantum Hall effect

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