Fractional statistics in the fractional quantum Hall effect
Mesoscale and Nanoscale Physics
2018-09-25 v1 Strongly Correlated Electrons
Abstract
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 and 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.
Keywords
Cite
@article{arxiv.cond-mat/0307303,
title = {Fractional statistics in the fractional quantum Hall effect},
author = {Gun Sang Jeon and Kenneth L. Graham and Jainendra K. Jain},
journal= {arXiv preprint arXiv:cond-mat/0307303},
year = {2018}
}
Comments
Phys. Rev. Lett., in press