Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations

Details Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations Charge and Statistics of Quasiholes in Pfaffian States of Composite Fermion Excitations

2004-02-26

arxiv.org/abs/cond-mat/0402653v2

Phys. Lett. A. Vol 324/2-3 (2004) pp 120-124

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages (in Latex)

Scientific paper

10.1016/j.physleta.2004.02.067

The charge of quasiparticles in Pfaffian states of composite fermion excitations (the presence of which is indicated by recent experiments) is found. At the filling fraction of the Pfaffian state $\nu=p/q$ (of the lowest Landau level) the charge is $\pm e/(2q)$. As in the case of the Pfaffian state of electrons the statistics of $N_{qh}$ quasiholes in the Pfaffian state corresponds to the spinor representation of $U(1)\times SO(2N_{qh})$ (the continuous extension of the braid group). Here U(1) is given by the phase factor $e^{i({1/8}+\frac{1}{4m})\pi}$ with $m=1+\alpha$, $\alpha$ -- the exclusion statistics parameter of Jain quasiparticles. The possiblity of Read-Rezayi states of Jain quasiparticles is also discussed.

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