Fractional Spin for Quantum Hall Effect Quasiparticles

Details Fractional Spin for Quantum Hall Effect Quasiparticles Fractional Spin for Quantum Hall Effect Quasiparticles

1994-11-18

arxiv.org/abs/cond-mat/9411078v1

Physics

Condensed Matter

15 pages, RevTeX-3.0

Scientific paper

10.1016/0550-3213(95)00025-N

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 $S=\theta/2\pi$, with $\theta$ 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 $(S_{qh} + S_{qe})/2 = \theta/2\pi$. On the plane, we do not find any corresponding terms.

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