Abstract
The density and capacitance profiles and edge effects in a two-dimensional (2D) layer of electrons held on a liquid helium surface between two horizontal plates of a parallel-plate capacitor are studied by solving Laplace's equation on a computer. An effective length for experimental cells is defined to take into account nonuniform charge density and capacitance near the edges of the cells. The profiles and edge effects are studied as a function of charge density on the helium surface, helium depth inside the cell, repelling voltages on guard electrodes around the capacitor plates, and the frequency of excitation. The results should be useful in designing cells for experiments and better analyzing the results of measurements.
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Mehrotra, R. Density and capacitance profiles and edge effects in a two-dimensional charge layer on a dielectric surface. J Low Temp Phys 67, 123–142 (1987). https://doi.org/10.1007/BF01070655
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DOI: https://doi.org/10.1007/BF01070655