Angular Momentum Distribution Function of the Laughlin Droplet

Details Angular Momentum Distribution Function of the Laughlin Droplet Angular Momentum Distribution Function of the Laughlin Droplet

1993-03-17

arxiv.org/abs/cond-mat/9303030v1

Physics

Condensed Matter

11 pages of RevTeX, 2 figures available on request. IUCM93-002

Scientific paper

10.1103/PhysRevB.48.2005

We have evaluated the angular-momentum distribution functions for finite numbers of electrons in Laughlin states. For very small numbers of electrons the angular-momentum state occupation numbers have been evaluated exactly while for larger numbers of electrons they have been obtained from Monte-Carlo estimates of the one-particle density matrix. An exact relationship, valid for any number of electrons, has been derived for the ratio of the occupation numbers of the two outermost orbitals of the Laughlin droplet and is used to test the accuracy of the MC calculations. We compare the occupation numbers near the outer edges of the droplets with predictions based on the chiral Luttinger liquid picture of Laughlin state edges and discuss the surprisingly large oscillations in occupation numbers which occur for angular momenta far from the edge.

Affiliated with

Also associated with

No associations

Rating

Angular Momentum Distribution Function of the Laughlin Droplet 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 Angular Momentum Distribution Function of the Laughlin Droplet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Angular Momentum Distribution Function of the Laughlin Droplet will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160478