Electrostatic theory for imaging experiments on local charges in quantum Hall systems

Details Electrostatic theory for imaging experiments on local charges in quantum Hall systems Electrostatic theory for imaging experiments on local charges in quantum Hall systems

2005-02-12

arxiv.org/abs/cond-mat/0502304v1

Physica E 31, 155 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1016/j.physe.2005.11.004

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.

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