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Assume that carrier screening from impurity electrons will make the impurity bound state disappear by disregarding the one-electron per one-impurity difficulty (the idea of screening by the electron density fluctuation rather than by individual electron).

(a) How will the theoretical N versus 1/T be modified at the higher temperature ranges in a sample that has 10²⁰ phosphorus/cm³?

Next, assume that there are two groups of electrons with concentrations N₁ cr and N₂1, then the N₂ bound states will be screened out by the N₁ electrons when their concentration N₁ reaches N_cr.

(b) How does the presence of the second group of electrons affect the N versus 1/T curve?

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Category:- Physics
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