### Abstract

We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin S is suggested by the spin-statistics relation S = θ/2π, with θ being the statistical angle, and, on a sphere, is required for consistent quantization of one or more quasiparticles. By performing Berry-phase calculations for quasiparticles on a sphere we find that there are two terms, of different origin, that couple to the curvature and can be interpreted as parts of the quasiparticle spin. One, due to self-interaction, has the same value for both the quasihole and quasielectron, and fulfills the spin-statistics relation. The other is a kinematical effect and has opposite signs for the quasihole and quasielectron. The total spin thus agrees with a generalized spin-statistics theorem 1 2 (S_{qh} + S_{qe}) = θ/2π. On the plane, we do not find any corresponding terms.

Original language | English (US) |
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Pages (from-to) | 515-529 |

Number of pages | 15 |

Journal | Nuclear Physics, Section B |

Volume | 441 |

Issue number | 3 |

DOIs | |

State | Published - May 15 1995 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics, Section B*,

*441*(3), 515-529. https://doi.org/10.1016/0550-3213(95)00025-N