An illustrative abrupt-junction depletion approximation assumes uniform, fully ionized donor impurities and acceptor impurities, negligible mobile space charge in the depleted layer, and permittivity . For area , doping number densities and built-in electric potential difference , it givesHere is the elementary charge and is positive for forward bias. Increasing both doping densities reduces in this estimate. That explains the preparation strategy for a tunnel diode; it does not make this sharp-depletion approximation a precise microscopic model of a degenerate semiconductor.
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