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

2016/05/31 by Jimmy A. Hutasoit, Ajit C. Balram, Sutirtha Mukherjee +6 · 24 citations
Computer Science · Physics and Astronomy · #Condensed matter physics #Electron #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.95.125302

published in Physical review. B./Physical review. B 95(12) (American Physical Society) · 10 pages, published version

openalex publication_date 2017/03/02 · arxiv created 2017/03/03 · arxiv updated 2017/03/08 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/06

Abstract

The fractional quantum Hall effect at \ensuremathν=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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