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

Brian Skinner, Michael M. Fogler
2010 Physical Review B  

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2010 pre-print arXiv:1009.5430v1 fatcat:k7dgv4i2nzdpzhzr6cm4jm4mum
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.
doi:10.1103/physrevb.82.201306 fatcat:6gj6aodrx5fjpowi7346hgcuwe
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Brian Skinner, Michael M. Fogler. "Simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions." Physical Review B 82.20 (2010)