For non-degenerate semiconductors, derive an analytical expressions of the effective density of states for the 2D system (N2D). In the general case (Fermi-Dirac distribution), derive an analytical expression of electron density for a 2D electron gas (you will give the expression in function of N2D derived previously) [Hint: it is possible to obtain a simple expression from the integration]

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For non-degenerate semiconductors, derive an analytical expressions of the effective density of states
for the 2D system (N2D).
In the general case (Fermi-Dirac distribution), derive an analytical expression of electron density for
a 2D electron gas (you will give the expression in function of N2D derived previously) [Hint: it is
possible to obtain a simple expression from the integration]
Transcribed Image Text:For non-degenerate semiconductors, derive an analytical expressions of the effective density of states for the 2D system (N2D). In the general case (Fermi-Dirac distribution), derive an analytical expression of electron density for a 2D electron gas (you will give the expression in function of N2D derived previously) [Hint: it is possible to obtain a simple expression from the integration]
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