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  • Open Access

Spin fractionalization at the edge of quantum Hall fluids induced by bulk quasiparticles

Alexander Fagerlund1,*, Alberto Nardin2,†, Leonardo Mazza2,3,‡, and Eddy Ardonne1,§

  • *Contact author: alexander.fagerlund@fysik.su.se
  • †Contact author: alberto.nardin@universite-paris-saclay.fr
  • ‡Contact author: leonardo.mazza@universite-paris-saclay.fr
  • §Contact author: ardonne@fysik.su.se
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Phys. Rev. B 112, 075148 – Published 22 August, 2025

DOI: https://doi.org/10.1103/t5ww-65lz

Abstract

We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value inherited from the fractional spin of the bulk quasiparticle. We present a geometric picture that does not rely on global symmetries of the wave function, but is able to treat quasiparticles and edges with different shapes. We study finite-size many-body wave functions on the cylinder with circular quasiparticles and straight edges. Our results are supported by matrix-product-state calculations for the Laughlin and the k=3 Read-Rezayi states.

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Outline

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Phys. Rev. B 112, 075148– Published 22 August, 2025
  • Received 9 January 2025
  • Revised 10 July 2025
  • Accepted 11 July 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

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