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

Details A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions

2010-09-28

arxiv.org/abs/1009.5430v1

Phys. Rev. B (R) 82, 201306 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.82.201306

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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