Fractional quantum Hall effect in a U(1)xSU(2) gauge field

Details Fractional quantum Hall effect in a U(1)xSU(2) gauge field Fractional quantum Hall effect in a U(1)xSU(2) gauge field

2010-12-16

arxiv.org/abs/1012.3581v1

New J. Phys. 13, 065002 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages, 8 figures, submitted to New J. Phys

Scientific paper

10.1088/1367-2630/13/6/065002

We consider the bosonic fractional quantum Hall effect in the presence of a non-Abelian gauge field in addition to the usual Abelian magnetic field. The non-Abelian field breaks the twofold internal state degeneracy, but preserves the Landau level degeneracy. Using exact diagonalization, we find that for moderate non-Abelian field strengths the system's behaviour resembles a single internal state quantum Hall system, while for stronger fields there is a phase transition to either two internal state behaviour or the complete absence of fractional quantum Hall plateaus. Usually the energy gap is reduced by the presence of a non-Abelian field, but some non-Abelian fields appear to slightly increase the gap of the $\nu=1$ and $\nu=3/2$ Read-Rezayi states.

Affiliated with

Also associated with

No associations

Rating

Fractional quantum Hall effect in a U(1)xSU(2) gauge 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 Fractional quantum Hall effect in a U(1)xSU(2) gauge field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional quantum Hall effect in a U(1)xSU(2) gauge field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-219137