# 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} }

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…

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