Fractional Quantum Hall States and Jack Polynomials

Details Fractional Quantum Hall States and Jack Polynomials Fractional Quantum Hall States and Jack Polynomials

2007-07-24

arxiv.org/abs/0707.3637v2

Phys. Rev. Lett. 100, 246802 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures 2 new references added

Scientific paper

10.1103/PhysRevLett.100.246802

We describe an occupation-number-like picture of Fractional Quantum Hall (FQH) states in terms of polynomial wavefunctions characterized by a dominant occupation-number configuration. The bosonic variants of single-component abelian and non-abelian FQH states are modeled by Jacks (Jack symmetric polynomials), characterized by dominant occupation-number configurations satisfying a generalized Pauli principle. In a series of well-known Quantum Hall states, including the Laughlin, Read-Moore, and Read-Rezayi, the Jack polynomials naturally implement a ``squeezing rule'' that constrains allowed configurations to be restricted to those obtained by squeezing the dominant configuration. The Jacks describing uniform FQH states satisfy a highest-weight condition, and a clustering condition which can be generalized to describe quasiparticle states.

Affiliated with

Also associated with

No associations

Rating

Fractional Quantum Hall States and Jack Polynomials 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 States and Jack Polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Quantum Hall States and Jack Polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546458