• DOI:10.1103/PhysRevB.77.115107
• Corpus ID: 119127147

Effect of the boundary shape in the effective theory of fractional quantum Hall edges

@article{Cabra2007EffectOT,
  title={Effect of the boundary shape in the effective theory of fractional quantum Hall edges},
  author={D. C. Cabra and Nicol{\'a}s Grandi},
  journal={Physical Review B},
  year={2007},
  volume={77},
  pages={115107}
}

• D. Cabra, N. Grandi
• Published 6 June 2007
• Physics
• Physical Review B

Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a non-universal reduction in the tunnelling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, that systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.