We consider a two-dimensional electron gas system consisting of a layer of electrons suspended above its jellium neutralizing background counterpart. We investigate the energy of the system in the Hartree–Fock approximation as a function of separation distance between the layer of electrons and the background. We find that the energy of the system is influenced by the separation distance in such a way that the new energy contribution originating from such a separation behaves as an effective kinetic energy term. The increase of the overall energy with increase of the separation distance adversely affects the stability of electron liquid states at high density. The results are derived for a fully spin-polarized (spinless) system of electrons in the thermodynamic limit, but can easily be generalized to a spin unpolarized state.

我们考虑一个二维电子气系统，该系统由一层悬浮在其中和本底的对映体上方的电子组成。我们在Hartree-Fock近似中研究了系统的能量，该能量是电子层与背景之间的分离距离的函数。我们发现系统的能量受到分离距离的影响，使得这种分离产生的新能量贡献表现为有效的动能项。随着分离距离的增加，总能量的增加不利地影响了高密度下电子液体状态的稳定性。结果是在热力学极限条件下获得的，是一个完全自旋极化的（无纺）电子系统，但可以很容易地推广到自旋非极化状态。