The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States

Details The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States

2009-02-25

arxiv.org/abs/0902.4320v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

modify comment in Ref. 14

Scientific paper

We deduce a new set of symmetries and relations between the coefficients of the expansion of Abelian and Non-Abelian Fractional Quantum Hall (FQH) states in free (bosonic or fermionic) many-body states. Our rules allow to build an approximation of a FQH model state with an overlap increasing with growing system size (that may sometimes reach unity!) while using a fraction of the original Hilbert space. We prove these symmetries by deriving a previously unknown recursion formula for all the coefficients of the Slater expansion of the Laughlin, Read Rezayi and many other states (all Jacks multiplied by Vandermonde determinants), which completely removes the current need for diagonalization procedures.

Affiliated with

Also associated with

No associations

Rating

The Anatomy of Abelian and Non-Abelian 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 The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Anatomy of Abelian and Non-Abelian Fractional Quantum Hall States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-157623