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Density of states of a two‐dimensional electron gas including nonparabolicity

机译:二维电子气体的态密度,包括非副歧义

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An expression for the density of states per unit area and unit of total energy in a two‐dimensional electron gas is proposed. This density of states depends on the energy of the electrons in each subband and on the potential well function averaged in the subband by the envelope function. The resulting expression is shown to approach the density of states per unit area and unit energy, which is obtained by integrating the three‐dimensional density in the potential well, in the limit of the high levels. This fact is then used for checking the validity of the expression, obtaining excellent results.
机译:提出了二维电子气体中单位面积和单位总能量的态密度表达式.这种态密度取决于每个子带中电子的能量以及包络函数在子带中平均的势阱函数。得到的表达式接近单位面积和单位能量的态密度,这是通过在势阱中对高能级极限中的三维密度进行积分而得到的。然后使用这一事实来检查表达式的有效性,从而获得出色的结果。

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