Multicomponent dense electron gas as a model of Si MOSFET

Details Multicomponent dense electron gas as a model of Si MOSFET Multicomponent dense electron gas as a model of Si MOSFET

2002-09-29

arxiv.org/abs/cond-mat/0209661v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 4 figures

Scientific paper

10.1134/1.1538290

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

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