Electrostatic theory for imaging experiments on local charges in quantum Hall systems |
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Authors: | Ana L.C. Pereira J.T. Chalker |
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Affiliation: | aTheoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, UK;bInstituto de Física Gleb Wataghin, Unicamp, C.P. 6165, 13083-970, Campinas, Brazil |
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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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Keywords: | Quantum Hall effect Fractional charge Quantum dot |
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