Multicomponent dense electron gas as a model of Si MOSFET

We solve a 2D model of N-component dense electron gas in the limit N --> infinity and in the range of the Coulomb interaction parameter N (-3/2) << r(s) << 1. The quasiparticle interaction on the Fermi circle vanishes as h(2)/Nm. 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 << nu < N, the charge-activation-energy gap and the exchange constant are Delta = log(r(s) N-3/2)homega(H)/nu and J = 0.66homega(H)/nu. (C) 2002 MAIK Nauka / Interperiodica.