Self-consistent addition spectrum of a Coulomb island in the quantum Hall regime

Coulomb interactions are shown to influence the addition spectrum of a small electron gas in the quantum Hall regime in ways that cannot be described by a classical charging energy. The interaction energy between electrons is observed to depend upon Landau-level index, and the evolution of the addition spectrum with magnetic field is found to depend strongly on Coulomb interactions. A self-consistent model of the island is introduced that can account for these results.