Quantum Hall edges with hard confinement: Exact solution beyond Luttinger liquid

@article{Fern2017QuantumHE,
  title={Quantum Hall edges with hard confinement: Exact solution beyond Luttinger liquid},
  author={Richard L. Fern and S. Simon},
  journal={Physical Review B},
  year={2017},
  volume={95},
  pages={201108}
}
We consider a Laughlin droplet in a confining potential which is very steep but also weak compared to the ultra-short ranged inter-particle interactions. We find that the eigenstates have a Jack polynomial structure, and have an energy spectrum which is extremely different from the well known Luttinger liquid edge. 

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