Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect

Details Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect

2007-06-11

arxiv.org/abs/0706.1338v2

Nucl.Phys.B798:323-339,2008

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Corrected typos, discussions on the integrability, note added

Scientific paper

10.1016/j.nuclphysb.2007.10.030

A supersymmetric Hamiltonian is constructed for the edge excitations of the Moore-Read (Pfaffian) like state, which is a realization of the N=2 supersymmetric CS model. Fermionic generators and their conjugates are introduced to deal with the fermion pairing, whose condensation form a BCS like state. After Bogoliubov transformation, a N=2 supersymmetric and nonrelativistic Hamiltonian is found to take a known form, which is integrable. The main difference between the Moore-Read state and our BCS like state is that the number of fermion pairs in our formalism is not fixed. However, we have also found that the excited states in our model looks similar but not exactly the same as Moore and Read's.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect 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 Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Hamiltonian Approach to Edge Excitations in $ν= 5/2$ Fractional Quantum Hall Effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178842