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

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.

4 pages, 3 figures

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• First-Principles Modeling of Pt/LaAlO3/SrTiO3 Capacitors Under an External Bias Potential
• Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
• Negative Compressibility in Graphene-terminated Black Phosphorus Heterostructures
• Chemical potential and compressibility of quantum Hall bilayer excitons
• Upper bound on the window of density occupied by microemulsion phases in two-dimensional electron systems
• Quantum capacitance of an HgTe quantum well as an indicator of the topological phase
• Wigner Crystallization in Two Dimensions: Evolution from Long- to Short-Ranged Forces
• Critical gate distance for Wigner crystallization in the two-dimensional electron gas
• Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors
• Correlation effects in the capacitance of a gated carbon nanotube
• Negative compressibility in MoS2 capacitance