Quantum Numbers of Hall Effect Skyrmions

Chetan Nayak; Frank Wilczek

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Quantum Numbers of Hall Effect Skyrmions

Chetan Nayak·Frank Wilczek

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Abstract

By carefully considering a family of wave functions for Skyrmions in simple quantum Hall states, whose members are labelled by a non-negative integer and which properly generalizes the traditional Laughlin quasiparticle, we argue that the spin of this particle has a fractional part related in a universal fashion to the properties of the bulk state, and propose a direct experimental test of this claim. We argue directly also for the fractional charge and fractional quantum statistics of these particles. We show that certain spin-singlet quantum Hall states can be understood as arising from primary polarized states by Skyrmion condensation.

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Chetan Nayak, Frank Wilczek. 1995-05-18. Quantum Numbers of Hall Effect Skyrmions. https://arxiv.org/abs/cond-mat/9505081

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