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A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions (1009.5430v1)

Published 28 Sep 2010 in cond-mat.mes-hall and cond-mat.mtrl-sci

Abstract: We describe a variational procedure for calculating the energy of an electron gas in which the long-range Coulomb interaction is truncated by the screening effect of a nearby metallic gate. We use this procedure to compute the quantum capacitance of the system as a function of electron density and spin polarization. The accuracy of the method is verified against published Monte-Carlo data. The results compare favorably with a recent experiment.

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