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arXiv · 1906.05564

Stability of the Laughlin phase against long-range interactions

Alessandro Olgiati·Nicolas Rougerie
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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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Alessandro Olgiati, Nicolas Rougerie. 2020-03-06. Stability of the Laughlin phase against long-range interactions. https://doi.org/10.1007/s00205-020-01536-0

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