Numerical study of charge and statistics of Laughlin quasi-particles

Details Numerical study of charge and statistics of Laughlin quasi-particles Numerical study of charge and statistics of Laughlin quasi-particles

1998-05-08

arxiv.org/abs/cond-mat/9805101v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages, 9 figures

Scientific paper

10.1142/S0217751X99000270

We present numerical calculations of the charge and statistics, as extracted from Berry phases, of the Laughlin quasi-particles, near filling fraction 1/3, and for system sizes of up to 200 electrons. For the quasi-holes our results confirm that the charge and statistics parameter are $e/3$ and 1/3, respectively. For the quasi-electron charge we find a slow convergence towards the expected value of $-e/3$, with a finite size correction for $N$ electrons of approximately $-0.13e/N$. The statistics parameter for the quasi-electrons has no well defined value even for 200 electrons, but might possibly converge to 1/3. Most noteworthy, it takes on the same sign as for the quasi-holes, due to terms that have previously been ignored. The anyon model works well for the quasi-holes, but requires singular two-anyon wave functions for modelling two Laughlin quasi-electrons.

Affiliated with

Also associated with

No associations

Rating

Numerical study of charge and statistics of Laughlin quasi-particles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical study of charge and statistics of Laughlin quasi-particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical study of charge and statistics of Laughlin quasi-particles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-202496