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

Ana L. C. Pereira; J. T. Chalker

doi:10.1016/j.physe.2005.11.004

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

Ana L. C. Pereira·J. T. Chalker

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Abstract

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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Ana L. C. Pereira, J. T. Chalker. 2005-02-12. Electrostatic theory for imaging experiments on local charges in quantum Hall systems. https://doi.org/10.1016/j.physe.2005.11.004

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