Multicomponent dense electron gas as a model of Si MOSFET
S. V. Iordanski, A. Kashuba
L. D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia
PACS: 71.10.Ca, 73.43.Cd
Abstract
We solve a 2D model of N-component dense electron gas in the
limit N→ ∞ and in a range of the Coulomb interaction parameter:
. The quasiparticle interaction on the Fermi circle
vanishes as . The ground state energy and the effective mass are
found as series in powers of rs2/3. In the quantum Hall state on the
lowest Landau level at integer filling: , the charge activation
energy gap and the exchange constant are: and .