Fractional Statistics in the Fractional Quantum Hall Effect

Gun Sang Jeon, Kenneth L. Graham, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

A microscopic confirmation of the fractional statistics of the quasiparticles in the fractional quantum Hall effect has so far been lacking. We calculate the statistics of the composite-fermion quasiparticles at [Formula presented] and [Formula presented] by evaluating the Berry phase for a closed loop encircling another composite-fermion quasiparticle. A careful consideration of subtle perturbations in the trajectory due to the presence of an additional quasiparticle is crucial for obtaining the correct value of the statistics. The conditions for the applicability of the fractional statistics concept are discussed.

Original languageEnglish (US)
JournalPhysical review letters
Volume91
Issue number3
DOIs
StatePublished - Jul 15 2003

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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