Stability of the Laughlin Phase Against Long-Range Interactions

@article{Olgiati2020StabilityOT,
  title={Stability of the Laughlin Phase Against Long-Range Interactions},
  author={Alessandro Olgiati and Nicolas Rougerie},
  journal={Archive for Rational Mechanics and Analysis},
  year={2020},
  volume={237},
  pages={1475-1515}
}
A natural, “perturbative”, problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin’s wave-function. We prove that, for small enough pair interactions, and asymptotically for large particle numbers, a minimizer can always be looked for in the particular form of uncorrelated quasi-holes superimposed to Laughlin’s wave-function. 
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