Nonlinear Landau levels in the almost-bosonic anyon gas
The study derives a two-parameter Chern-Simons-Schrödinger energy functional to describe interacting many-anyon gases, extending standard density functional theory to magnetic anyonic interactions. It reveals a spectrum of energies matching exact nonlinear Landau levels (NLLs) and shows that counter-rotating vortices enhance the gas's stability against collapse. This analysis connects different anyon models and highlights a novel supersymmetry-breaking phenomenon.