Fractional statistics in the fractional quantum Hall effect.

نویسندگان

  • Gun Sang Jeon
  • Kenneth L Graham
  • Jainendra K Jain
چکیده

A microscopic confirmation of the fractional statistics of the 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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عنوان ژورنال:
  • Physical review letters

دوره 91 3  شماره 

صفحات  -

تاریخ انتشار 2003