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Pré-Publication, Document De Travail Année : 2017

The Laughlin liquid in an external potential

Résumé

We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N-particle wave functions that have the form of a product of Laughlin states and analytic functions of the N variables. We derive an upper bound to the ground state energy in a confining external potential, matching exactly a recently derived lower bound in the large N limit. Irrespective of the shape of the confining potential, this sharp upper bound can be achieved through a modification of the Laughlin function by suitably arranged quasi-holes.
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Dates et versions

hal-01562107 , version 1 (13-07-2017)
hal-01562107 , version 2 (17-10-2017)

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Nicolas Rougerie, Jakob Yngvason. The Laughlin liquid in an external potential. 2017. ⟨hal-01562107v1⟩
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