Collective states of non-abelian quasiparticles in a magnetic field

Details Collective states of non-abelian quasiparticles in a magnetic field Collective states of non-abelian quasiparticles in a magnetic field

2008-12-01

arxiv.org/abs/0812.0381v2

Phys. Rev. B 79, 205301 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages

Scientific paper

10.1103/PhysRevB.79.205301

Motivated by the physics of the Moore-Read \nu = 1/2 state away from half-filling, we investigate collective states of non-abelian e/4 quasiparticles in a magnetic field. We consider two types of collective states: incompressible liquids and Wigner crystals. In the incompressible liquid case, we construct a natural series of states which can be thought of as a non-abelian generalization of the Laughlin states. These states are associated with a series of hierarchical states derived from the Moore-Read state - the simplest of which occur at filling fraction 8/17 and 7/13. Interestingly, we find that the hierarchical states are abelian even though their parent state is non-abelian. In the Wigner crystal case, we construct two candidate states. We find that they, too, are abelian - in agreement with previous analysis.

Affiliated with

Also associated with

No associations

Rating

Collective states of non-abelian quasiparticles in a magnetic field 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 Collective states of non-abelian quasiparticles in a magnetic field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective states of non-abelian quasiparticles in a magnetic field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718407