Multicomponent dense electron gas as a model of Si MOSFET

Abstract

We solve two-dimensional model of $N$-component dense electron gas in the limit of large $N$ and in a range of the Coulomb interaction parameter: $N^{-3/2}\ll r_s\ll 1$. The quasiparticle interaction on the Fermi circle vanishes as 1/N. The ground state energy and the effective mass are found as series in powers of $r_s^{2/3}$. In the quantum Hall state on the lowest Landau level at integer filling: $1\ll \nu <N$, the charge activation energy gap and the exchange constant are found.

10 pages, 4 figures

References in corpus (2)

• The low-density spin susceptibility and effective mass of mobile electrons in Si inversion layers
• Sharp increase of the effective mass near the critical density in a metallic 2D electron system

Cited by in corpus (5)

• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Probing Electron Interactions in a Two-Dimensional System by Quantum Magneto-Oscillations
• Spin-independent effective mass in a valley-degenerate electron system
• Universal and non-universal renormalizations in Fermi liquids
• Quantum Phase Transition of the Electron-Hole Liquid In the Coupled Quantum Wells