Motivated by recent experimental results, we reconsider the theory of the edge excitations for the fractional Hall effect at filling factors ν=p/(2np+1). We propose to modify the standard u(1)⊗su(p) edge theory for this series by introducing twist fields that change the boundary conditions of the bosonic fields. This has the effect of removing the conserved charges associated to the neutral modes while keeping the right statistics of the particles. The Green function of the electron in presence of twists decays at long distance with an exponent varying continuously with ν.
Physical Review B
- Pub Date:
- April 2001
- Quantum Hall effects;
- Fermions in reduced dimensions;
- Condensed Matter - Mesoscale and Nanoscale Physics
- 5 pages, latex