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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2020

Stability of the Laughlin phase against long-range interactions

Résumé

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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Dates et versions

hal-02153307 , version 1 (12-06-2019)
hal-02153307 , version 2 (02-03-2020)

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Alessandro Olgiati, Nicolas Rougerie. Stability of the Laughlin phase against long-range interactions. Archive for Rational Mechanics and Analysis, 2020, 237, pp.1475-1515. ⟨hal-02153307v2⟩
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