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arXiv · 1611.00942

Local density approximation for the almost-bosonic anyon gas

Michele Correggi·Douglas Lundholm·Nicolas Rougerie
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Abstract

We study the minimizers of an energy functional with a self-consistent magnetic field, which describes a quantum gas of almost-bosonic anyons in the average-field approximation. For the homogeneous gas we prove the existence of the thermodynamic limit of the energy at fixed effective statistics parameter, and the independence of such a limit from the shape of the domain. This result is then used in a local density approximation to derive an effective Thomas--Fermi-like model for the trapped anyon gas in the limit of a large effective statistics parameter (i.e., "less-bosonic" anyons).

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Michele Correggi, Douglas Lundholm, Nicolas Rougerie. 2017-04-10. Local density approximation for the almost-bosonic anyon gas. https://doi.org/10.2140/apde.2017.10.1169

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