Abstract
Motivated by electron-tunnelling microscopy showing enhancement of electron density near the HOMO level in graphite, we present an analytical solution for the density in a two-dimensional free-electron assembly subject to edge confinement. In fact starting from the so-called Slater sum of statistical mechanics, the general result for arbitrary dimension d is obtained for this electron gas model.
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Howard, I., March, N. & Klein, D. Edge Confinement of a Two-Dimensional Electron Gas and Its Relevance to the Electron Density Near a Vacancy Defect in Graphite. Journal of Mathematical Chemistry 32, 31–37 (2002). https://doi.org/10.1023/A:1021263223403
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DOI: https://doi.org/10.1023/A:1021263223403