Physics – Condensed Matter
Scientific paper
1994-02-08
Physics
Condensed Matter
Scientific paper
An effective wavefunction for the edge excitations in the Fractional quantum Hall effect can be found by dimensionally reducing the bulk wavefunction. Treated this way the Laughlin $\nu=1/(2n+1)$ wavefunction yields a Luttinger model ground state. We identify the edge-electron field with a Luttinger hyper-fermion operator, and the edge electron itself with a non-backscattering Bogoliubov quasi-particle. The edge-electron propagator may be calculated directly from the effective wavefunction using the properties of a one-dimensional one-component plasma, provided a prescription is adopted which is sensitive to the extra flux attached to the electrons.
Fisher Matthew P. A.
Stone Michael
No associations
LandOfFree
Luttinger States at the Edge 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 Luttinger States at the Edge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Luttinger States at the Edge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-148593