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American Physical Society, Physical review B, 20(82), 2010

DOI: 10.1103/physrevb.82.201306

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Simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions

Journal article published in 2010 by Brian Skinner, Michael M. Fogler ORCID
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This paper is available in a repository.

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Abstract

We describe a variational procedure for calculating the energy of an electron gas in which the long-range Coulomb interaction is truncated, for example by the screening effect of a nearby metallic gate. We use this procedure to compute the quantum capacitance of a two-dimensional electron gas next to a metallic gate 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.