Spin-statistics relation for quantum Hall states
Alberto Nardin; Eddy Ardonne; Leonardo Mazza · 2022 · arXiv
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Abstract (excerpt)
We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for computing the Berry phase acquired by a generic quasiparticle translated in the plane along a circular path, and on the crucial fact that once the gauge-invariant generator of rotations is projected onto a Landau level, it fractionalizes among the quasiparticles and the edge. Using these results we define a measurable quasiparticle fractional spin that satisfies the spin-statistics relation. As an application, we predic
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Metadata source: arXiv