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).
Citation
Michele Correggi. Douglas Lundholm. Nicolas Rougerie. "Local density approximation for the almost-bosonic anyon gas." Anal. PDE 10 (5) 1169 - 1200, 2017. https://doi.org/10.2140/apde.2017.10.1169
Information