Fractional statistics in the fractional quantum Hall effect

Details Fractional statistics in the fractional quantum Hall effect Fractional statistics in the fractional quantum Hall effect

2003-07-12

arxiv.org/abs/cond-mat/0307303v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Phys. Rev. Lett., in press

Scientific paper

10.1103/PhysRevLett.91.036801

A microscopic confirmation of the fractional statistics of the {\em quasiparticles} in the fractional quantum Hall effect has so far been lacking. We calculate the statistics of the composite-fermion quasiparticles at $\nu=1/3$ and $\nu=2/5$ by evaluating the Berry phase for a closed loop encircling another composite-fermion quasiparticle. A careful consideration of subtle perturbations in the trajectory due to the presence of an additional quasiparticle is crucial for obtaining the correct value of the statistics. The conditions for the applicability of the fractional statistics concept are discussed.

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