Ground state of a quasi-two-dimensional electron gas

TL;DR

This paper investigates the ground state properties of a quasi-two-dimensional electron gas confined at a plane, analyzing how electron states populate in the confined direction within the Hartree-Fock approximation.

Contribution

It provides a detailed analysis of the mode structure and state population thresholds in a quasi-2D electron gas under confinement.

Findings

Unpolarized electron gas populates the first excited state at r_s<1.3.

Polarized electron gas populates the first excited state at r_s<2.5.

Mode structure depends on electron polarization and density.

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.