Edge excitations of paired fractional quantum Hall states

Details Edge excitations of paired fractional quantum Hall states Edge excitations of paired fractional quantum Hall states

1996-02-20

arxiv.org/abs/cond-mat/9602113v1

Phys.Rev.B53:13559,1996

Physics

Condensed Matter

44 pages, requires RevTeX, no figures

Scientific paper

10.1103/PhysRevB.53.13559

The Hilbert spaces of the edge excitations of several ``paired'' fractional quantum Hall states, namely the Pfaffian, Haldane-Rezayi and 331 states, are constructed and the states at each angular momentum level are enumerated. The method is based on finding all the zero energy states for those Hamiltonians for which each of these known ground states is the exact, unique, zero-energy eigenstate of lowest angular momentum in the disk geometry. For each state, we find that, in addition to the usual bosonic charge-fluctuation excitations, there are fermionic edge excitations. The edge states can be built out of quantum fields that describe the fermions, in addition to the usual scalar bosons (or Luttinger liquids) that describe the charge fluctuations. The fermionic fields in the Pfaffian and 331 cases are a non-interacting Majorana (i.e., real Dirac) and Dirac field, respectively. For the Haldane-Rezayi state, the field is an anticommuting scalar. For this system we exhibit a chiral Lagrangian that has manifest SU(2) symmetry but breaks Lorentz invariance because of the breakdown of the spin statistics connection implied by the scalar nature of the field and the positive definite norm on the Hilbert space. Finally we consider systems on a cylinder where the fluid has two edges and construct the sectors of zero energy states, discuss the projection rules for combining states at the two edges, and calculate the partition function for each edge excitation system at finite temperature in the thermodynamic limit. It is pointed out that the conformal field theories for the edge states are examples of orbifold constructions.

Affiliated with

Also associated with

No associations

Rating

Edge excitations of paired 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 Edge excitations of paired fractional quantum Hall states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Edge excitations of paired fractional quantum Hall states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-501030