Stability of the Laughlin phase against long-range interactions
arXiv:1906.05564 · doi:10.1007/s00205-020-01536-0
Abstract
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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