Quasi-two-dimensional electron gas at metallic densities

Abstract

We consider the three-dimensional electron gas confined by a strictly two-dimensional homogeneous positive charge density at $z=0$. Within the Hartree-Fock approximation, we study the mode structure in the confined direction in the metallic regime. We find, that for $r_s<1.3$ ($r_s<2.5$) the unpolarized (polarized) electron gas starts to populate also the first excited state in the $z$-direction.