1 research outputs found
Charge and Statistics of Quantum Hall Quasi-Particles. A numerical study of mean values and fluctuations
We present Monte Carlo studies of charge expectation values and charge
fluctuations for quasi-particles in the quantum Hall system. We have studied
the Laughlin wave functions for quasi-hole and quasi-electron, and also Jain's
definition of the quasi-electron wave function. The considered systems consist
of from 50 to 200 electrons, and the filling fraction is 1/3. For all
quasi-particles our calculations reproduce well the expected values of charge;
-1/3 times the electron charge for the quasi-hole, and 1/3 for the
quasi-electron. Regarding fluctuations in the charge, our results for the
quasi-hole and Jain quasi-electron are consistent with the expected value zero
in the bulk of the system, but for the Laughlin quasi-electron we find small,
but significant, deviations from zero throughout the whole electron droplet. We
also present Berry phase calculations of charge and statistics parameter for
the Jain quasi-electron, calculations which supplement earlier studies for the
Laughlin quasi-particles. We find that the statistics parameter is more well
behaved for the Jain quasi-electron than it is for the Laughlin quasi-electron.Comment: 39 pages, 27 figure