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arXiv · 1707.05059

The Laughlin liquid in an external potential

Nicolas Rougerie·Jakob Yngvason
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Abstract

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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Nicolas Rougerie, Jakob Yngvason. 2017-10-23. The Laughlin liquid in an external potential. https://doi.org/10.1007/s11005-017-1020-5

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