Ground state of a quasi-two-dimensional electron gas
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 rs<1.3 (rs<2.5) the unpolarized (polarized) electron gas starts to populate also the first excited state in the z-direction.
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