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Which outcome results when the electron density increases beyond the Thomas-Fermi screening limit at semiconductor surface?

A)Surface plasmon frequency greatly decreases
B)Formation of two-dimensional electron gas
C)Substrate lattice thermal conductivity is increased
D)A widened bandgap occurs in substrate

💡 Explanation

Formation of Two-dimensional electron gas arises because the increased electron density creates strong confinement. This is due to band bending near surface due to Poisson’s Equation, resulting in 2DEG rather than plasmon frequency shift or lattice thermal changes.

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