We use a simple electrostatic treatment to model recent experiments on quantum Hall systems, in which charging of localised states by addition of integer or fractionally-charged quasiparticles is observed. Treating the localised state as a compressible quantum dot or antidot embedded in an incompressible background, we calculate the electrostatic potential in its vicinity as a function of its charge, and the chemical potential values at which its charge changes. The results offer a quantitative framework for analysis of the observations.
@article{arxiv.cond-mat/0502304,
title = {Electrostatic theory for imaging experiments on local charges in quantum Hall systems},
author = {Ana L. C. Pereira and J. T. Chalker},
journal= {arXiv preprint arXiv:cond-mat/0502304},
year = {2008}
}