S-duality constraints on 1D patterns associated with fractional quantum Hall states

Details S-duality constraints on 1D patterns associated with fractional quantum Hall states S-duality constraints on 1D patterns associated with fractional quantum Hall states

2010-02-12

arxiv.org/abs/1002.2647v1

Phys. Rev. Lett. 105, 026802 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+epsilon pages, 1 figure, RevTeX4

Scientific paper

Using the modular invariance of the torus, constraints on the 1D patterns are derived that are associated with various fractional quantum Hall ground states, e.g. through the thin torus limit. In the simplest case, these constraints enforce the well known odd-denominator rule, which is seen to be a necessary property of all 1D patterns associated to quantum Hall states with minimum torus degeneracy. However, the same constraints also have implications for the non-Abelian states possible within this framework. In simple cases, including the $\nu=1$ Moore-Read state and the $\nu=3/2$ level 3 Read-Rezayi state, the filling factor and the torus degeneracy uniquely specify the possible patterns, and thus all physical properties that are encoded in them. It is also shown that some states, such as the "strong p-wave pairing state", cannot in principle be described through patterns.

Affiliated with

Also associated with

No associations

Rating

S-duality constraints on 1D patterns associated with fractional quantum Hall states 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 S-duality constraints on 1D patterns associated with fractional quantum Hall states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and S-duality constraints on 1D patterns associated with fractional quantum Hall states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323680